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Finding the Fourth Proportional to 8,391.43, 11,578.21 and 7,052.13

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Solution

The fourth proportional to 8,391.43, 11,578.21 and 7,052.13 is: 9,730.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,391.43 : 11,578.21 = 7,052.13 : x
  2. Step 2: Convert to fraction form
    8,391.43/11,578.21 = 7,052.13/x
  3. Step 3: Cross multiply
    8,391.43x = 11,578.21 × 7,052.13
  4. Step 4: Simplify right side
    8,391.43x = 81,651,024.46
  5. Step 5: Solve for x
    x = 81,651,024.46/8,391.43
  6. Step 6: Final answer
    x = 9,730.29

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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.