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Finding the Fourth Proportional to 14,500, 21,753.01 and 5,615.10

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Solution

The fourth proportional to 14,500, 21,753.01 and 5,615.10 is: 8,423.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,500 : 21,753.01 = 5,615.10 : x
  2. Step 2: Convert to fraction form
    14,500/21,753.01 = 5,615.10/x
  3. Step 3: Cross multiply
    14,500x = 21,753.01 × 5,615.10
  4. Step 4: Simplify right side
    14,500x = 122,145,326.45
  5. Step 5: Solve for x
    x = 122,145,326.45/14,500
  6. Step 6: Final answer
    x = 8,423.82

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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.