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Finding the Fourth Proportional to 28,438, 42,668.36 and 14,390.44

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Solution

The fourth proportional to 28,438, 42,668.36 and 14,390.44 is: 21,591.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,438 : 42,668.36 = 14,390.44 : x
  2. Step 2: Convert to fraction form
    28,438/42,668.36 = 14,390.44/x
  3. Step 3: Cross multiply
    28,438x = 42,668.36 × 14,390.44
  4. Step 4: Simplify right side
    28,438x = 614,016,474.48
  5. Step 5: Solve for x
    x = 614,016,474.48/28,438
  6. Step 6: Final answer
    x = 21,591.41

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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.