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Finding the Fourth Proportional to 34,445.20, 51,671.04 and 13,666

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Solution

The fourth proportional to 34,445.20, 51,671.04 and 13,666 is: 20,500.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,445.20 : 51,671.04 = 13,666 : x
  2. Step 2: Convert to fraction form
    34,445.20/51,671.04 = 13,666/x
  3. Step 3: Cross multiply
    34,445.20x = 51,671.04 × 13,666
  4. Step 4: Simplify right side
    34,445.20x = 706,136,432.64
  5. Step 5: Solve for x
    x = 706,136,432.64/34,445.20
  6. Step 6: Final answer
    x = 20,500.29

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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.