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Finding the Fourth Proportional to 10,379.40, 15,577.02 and 7,613.40

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Solution

The fourth proportional to 10,379.40, 15,577.02 and 7,613.40 is: 11,425.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,379.40 : 15,577.02 = 7,613.40 : x
  2. Step 2: Convert to fraction form
    10,379.40/15,577.02 = 7,613.40/x
  3. Step 3: Cross multiply
    10,379.40x = 15,577.02 × 7,613.40
  4. Step 4: Simplify right side
    10,379.40x = 118,594,084.07
  5. Step 5: Solve for x
    x = 118,594,084.07/10,379.40
  6. Step 6: Final answer
    x = 11,425.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.