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Finding the Fourth Proportional to 2,118.38, 3,177.57 and 657.68

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Solution

The fourth proportional to 2,118.38, 3,177.57 and 657.68 is: 986.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.38 : 3,177.57 = 657.68 : x
  2. Step 2: Convert to fraction form
    2,118.38/3,177.57 = 657.68/x
  3. Step 3: Cross multiply
    2,118.38x = 3,177.57 × 657.68
  4. Step 4: Simplify right side
    2,118.38x = 2,089,824.24
  5. Step 5: Solve for x
    x = 2,089,824.24/2,118.38
  6. Step 6: Final answer
    x = 986.52

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.