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Finding the Fourth Proportional to 14,652.31, 20,220.16 and 7,938.10

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Solution

The fourth proportional to 14,652.31, 20,220.16 and 7,938.10 is: 10,954.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,652.31 : 20,220.16 = 7,938.10 : x
  2. Step 2: Convert to fraction form
    14,652.31/20,220.16 = 7,938.10/x
  3. Step 3: Cross multiply
    14,652.31x = 20,220.16 × 7,938.10
  4. Step 4: Simplify right side
    14,652.31x = 160,509,612.41
  5. Step 5: Solve for x
    x = 160,509,612.41/14,652.31
  6. Step 6: Final answer
    x = 10,954.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.