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Finding the Fourth Proportional to 19,291.68, 28,938.48 and 9,439.20

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Solution

The fourth proportional to 19,291.68, 28,938.48 and 9,439.20 is: 14,159.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,291.68 : 28,938.48 = 9,439.20 : x
  2. Step 2: Convert to fraction form
    19,291.68/28,938.48 = 9,439.20/x
  3. Step 3: Cross multiply
    19,291.68x = 28,938.48 × 9,439.20
  4. Step 4: Simplify right side
    19,291.68x = 273,156,100.42
  5. Step 5: Solve for x
    x = 273,156,100.42/19,291.68
  6. Step 6: Final answer
    x = 14,159.27

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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.