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Finding the Fourth Proportional to 2,118.70, 3,178.35 and 657.70

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Solution

The fourth proportional to 2,118.70, 3,178.35 and 657.70 is: 986.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.70 : 3,178.35 = 657.70 : x
  2. Step 2: Convert to fraction form
    2,118.70/3,178.35 = 657.70/x
  3. Step 3: Cross multiply
    2,118.70x = 3,178.35 × 657.70
  4. Step 4: Simplify right side
    2,118.70x = 2,090,400.80
  5. Step 5: Solve for x
    x = 2,090,400.80/2,118.70
  6. Step 6: Final answer
    x = 986.64

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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.