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Finding the Fourth Proportional to 28,032, 42,049.20 and 9,564

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Solution

The fourth proportional to 28,032, 42,049.20 and 9,564 is: 14,346.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,032 : 42,049.20 = 9,564 : x
  2. Step 2: Convert to fraction form
    28,032/42,049.20 = 9,564/x
  3. Step 3: Cross multiply
    28,032x = 42,049.20 × 9,564
  4. Step 4: Simplify right side
    28,032x = 402,158,548.80
  5. Step 5: Solve for x
    x = 402,158,548.80/28,032
  6. Step 6: Final answer
    x = 14,346.41

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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.