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Finding the Fourth Proportional to 19,630.68, 29,450.88 and 9,240

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Solution

The fourth proportional to 19,630.68, 29,450.88 and 9,240 is: 13,862.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,630.68 : 29,450.88 = 9,240 : x
  2. Step 2: Convert to fraction form
    19,630.68/29,450.88 = 9,240/x
  3. Step 3: Cross multiply
    19,630.68x = 29,450.88 × 9,240
  4. Step 4: Simplify right side
    19,630.68x = 272,126,131.20
  5. Step 5: Solve for x
    x = 272,126,131.20/19,630.68
  6. Step 6: Final answer
    x = 13,862.29

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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.