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Finding the Fourth Proportional to 28,248, 42,353.28 and 13,459.20

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Solution

The fourth proportional to 28,248, 42,353.28 and 13,459.20 is: 20,179.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,248 : 42,353.28 = 13,459.20 : x
  2. Step 2: Convert to fraction form
    28,248/42,353.28 = 13,459.20/x
  3. Step 3: Cross multiply
    28,248x = 42,353.28 × 13,459.20
  4. Step 4: Simplify right side
    28,248x = 570,041,266.18
  5. Step 5: Solve for x
    x = 570,041,266.18/28,248
  6. Step 6: Final answer
    x = 20,179.88

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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.