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Finding the Fourth Proportional to 28,245.64, 42,301.08 and 15,734.64

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Solution

The fourth proportional to 28,245.64, 42,301.08 and 15,734.64 is: 23,564.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,245.64 : 42,301.08 = 15,734.64 : x
  2. Step 2: Convert to fraction form
    28,245.64/42,301.08 = 15,734.64/x
  3. Step 3: Cross multiply
    28,245.64x = 42,301.08 × 15,734.64
  4. Step 4: Simplify right side
    28,245.64x = 665,592,265.41
  5. Step 5: Solve for x
    x = 665,592,265.41/28,245.64
  6. Step 6: Final answer
    x = 23,564.43

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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.