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Finding the Fourth Proportional to 9,312.78, 12,854.38 and 5,538.62

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Solution

The fourth proportional to 9,312.78, 12,854.38 and 5,538.62 is: 7,644.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,312.78 : 12,854.38 = 5,538.62 : x
  2. Step 2: Convert to fraction form
    9,312.78/12,854.38 = 5,538.62/x
  3. Step 3: Cross multiply
    9,312.78x = 12,854.38 × 5,538.62
  4. Step 4: Simplify right side
    9,312.78x = 71,195,526.16
  5. Step 5: Solve for x
    x = 71,195,526.16/9,312.78
  6. Step 6: Final answer
    x = 7,644.93

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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.