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Finding the Fourth Proportional to 7,841.80, 10,815.22 and 5,717.32

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Solution

The fourth proportional to 7,841.80, 10,815.22 and 5,717.32 is: 7,885.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841.80 : 10,815.22 = 5,717.32 : x
  2. Step 2: Convert to fraction form
    7,841.80/10,815.22 = 5,717.32/x
  3. Step 3: Cross multiply
    7,841.80x = 10,815.22 × 5,717.32
  4. Step 4: Simplify right side
    7,841.80x = 61,834,073.61
  5. Step 5: Solve for x
    x = 61,834,073.61/7,841.80
  6. Step 6: Final answer
    x = 7,885.19

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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.