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Finding the Fourth Proportional to 14,513, 21,772.63 and 4,517.55

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Solution

The fourth proportional to 14,513, 21,772.63 and 4,517.55 is: 6,777.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,513 : 21,772.63 = 4,517.55 : x
  2. Step 2: Convert to fraction form
    14,513/21,772.63 = 4,517.55/x
  3. Step 3: Cross multiply
    14,513x = 21,772.63 × 4,517.55
  4. Step 4: Simplify right side
    14,513x = 98,358,944.66
  5. Step 5: Solve for x
    x = 98,358,944.66/14,513
  6. Step 6: Final answer
    x = 6,777.30

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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.