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Finding the Fourth Proportional to 2,118.15, 3,177.45 and 657.18

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Solution

The fourth proportional to 2,118.15, 3,177.45 and 657.18 is: 985.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.15 : 3,177.45 = 657.18 : x
  2. Step 2: Convert to fraction form
    2,118.15/3,177.45 = 657.18/x
  3. Step 3: Cross multiply
    2,118.15x = 3,177.45 × 657.18
  4. Step 4: Simplify right side
    2,118.15x = 2,088,156.59
  5. Step 5: Solve for x
    x = 2,088,156.59/2,118.15
  6. Step 6: Final answer
    x = 985.84

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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.