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Finding the Fourth Proportional to 3,126.57, 4,689.95 and 935.41

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Solution

The fourth proportional to 3,126.57, 4,689.95 and 935.41 is: 1,403.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,126.57 : 4,689.95 = 935.41 : x
  2. Step 2: Convert to fraction form
    3,126.57/4,689.95 = 935.41/x
  3. Step 3: Cross multiply
    3,126.57x = 4,689.95 × 935.41
  4. Step 4: Simplify right side
    3,126.57x = 4,387,026.13
  5. Step 5: Solve for x
    x = 4,387,026.13/3,126.57
  6. Step 6: Final answer
    x = 1,403.14

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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.