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Finding the Fourth Proportional to 9,092, 13,641.20 and 4,478.24

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Solution

The fourth proportional to 9,092, 13,641.20 and 4,478.24 is: 6,718.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,092 : 13,641.20 = 4,478.24 : x
  2. Step 2: Convert to fraction form
    9,092/13,641.20 = 4,478.24/x
  3. Step 3: Cross multiply
    9,092x = 13,641.20 × 4,478.24
  4. Step 4: Simplify right side
    9,092x = 61,088,567.49
  5. Step 5: Solve for x
    x = 61,088,567.49/9,092
  6. Step 6: Final answer
    x = 6,718.94

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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.