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Finding the Fourth Proportional to 31,407.60, 47,062.80 and 21,007.20

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Solution

The fourth proportional to 31,407.60, 47,062.80 and 21,007.20 is: 31,478.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,407.60 : 47,062.80 = 21,007.20 : x
  2. Step 2: Convert to fraction form
    31,407.60/47,062.80 = 21,007.20/x
  3. Step 3: Cross multiply
    31,407.60x = 47,062.80 × 21,007.20
  4. Step 4: Simplify right side
    31,407.60x = 988,657,652.16
  5. Step 5: Solve for x
    x = 988,657,652.16/31,407.60
  6. Step 6: Final answer
    x = 31,478.29

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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.