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Finding the Fourth Proportional to 1,757.76, 2,428.63 and 1,387.57

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Solution

The fourth proportional to 1,757.76, 2,428.63 and 1,387.57 is: 1,917.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,757.76 : 2,428.63 = 1,387.57 : x
  2. Step 2: Convert to fraction form
    1,757.76/2,428.63 = 1,387.57/x
  3. Step 3: Cross multiply
    1,757.76x = 2,428.63 × 1,387.57
  4. Step 4: Simplify right side
    1,757.76x = 3,369,894.13
  5. Step 5: Solve for x
    x = 3,369,894.13/1,757.76
  6. Step 6: Final answer
    x = 1,917.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.