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Finding the Fourth Proportional to 38,447.60, 57,622.80 and 28,047.20

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Solution

The fourth proportional to 38,447.60, 57,622.80 and 28,047.20 is: 42,035.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,447.60 : 57,622.80 = 28,047.20 : x
  2. Step 2: Convert to fraction form
    38,447.60/57,622.80 = 28,047.20/x
  3. Step 3: Cross multiply
    38,447.60x = 57,622.80 × 28,047.20
  4. Step 4: Simplify right side
    38,447.60x = 1,616,158,196.16
  5. Step 5: Solve for x
    x = 1,616,158,196.16/38,447.60
  6. Step 6: Final answer
    x = 42,035.35

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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.