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Finding the Fourth Proportional to 9,398.74, 12,957.92 and 7,806.82

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Solution

The fourth proportional to 9,398.74, 12,957.92 and 7,806.82 is: 10,763.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,398.74 : 12,957.92 = 7,806.82 : x
  2. Step 2: Convert to fraction form
    9,398.74/12,957.92 = 7,806.82/x
  3. Step 3: Cross multiply
    9,398.74x = 12,957.92 × 7,806.82
  4. Step 4: Simplify right side
    9,398.74x = 101,160,149.01
  5. Step 5: Solve for x
    x = 101,160,149.01/9,398.74
  6. Step 6: Final answer
    x = 10,763.16

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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.