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Finding the Fourth Proportional to 5,780.43, 8,702.14 and 3,943.12

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Solution

The fourth proportional to 5,780.43, 8,702.14 and 3,943.12 is: 5,936.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780.43 : 8,702.14 = 3,943.12 : x
  2. Step 2: Convert to fraction form
    5,780.43/8,702.14 = 3,943.12/x
  3. Step 3: Cross multiply
    5,780.43x = 8,702.14 × 3,943.12
  4. Step 4: Simplify right side
    5,780.43x = 34,313,565.45
  5. Step 5: Solve for x
    x = 34,313,565.45/5,780.43
  6. Step 6: Final answer
    x = 5,936.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.