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Finding the Fourth Proportional to 7,292.52, 10,938.78 and 2,909.88

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Solution

The fourth proportional to 7,292.52, 10,938.78 and 2,909.88 is: 4,364.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,292.52 : 10,938.78 = 2,909.88 : x
  2. Step 2: Convert to fraction form
    7,292.52/10,938.78 = 2,909.88/x
  3. Step 3: Cross multiply
    7,292.52x = 10,938.78 × 2,909.88
  4. Step 4: Simplify right side
    7,292.52x = 31,830,537.15
  5. Step 5: Solve for x
    x = 31,830,537.15/7,292.52
  6. Step 6: Final answer
    x = 4,364.82

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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.