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Finding the Fourth Proportional to 9,487.60, 14,229.80 and 2,912

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Solution

The fourth proportional to 9,487.60, 14,229.80 and 2,912 is: 4,367.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,487.60 : 14,229.80 = 2,912 : x
  2. Step 2: Convert to fraction form
    9,487.60/14,229.80 = 2,912/x
  3. Step 3: Cross multiply
    9,487.60x = 14,229.80 × 2,912
  4. Step 4: Simplify right side
    9,487.60x = 41,437,177.60
  5. Step 5: Solve for x
    x = 41,437,177.60/9,487.60
  6. Step 6: Final answer
    x = 4,367.51

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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.