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Finding the Fourth Proportional to 13,634.43, 20,462.59 and 7,062.50

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Solution

The fourth proportional to 13,634.43, 20,462.59 and 7,062.50 is: 10,599.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,634.43 : 20,462.59 = 7,062.50 : x
  2. Step 2: Convert to fraction form
    13,634.43/20,462.59 = 7,062.50/x
  3. Step 3: Cross multiply
    13,634.43x = 20,462.59 × 7,062.50
  4. Step 4: Simplify right side
    13,634.43x = 144,516,904.25
  5. Step 5: Solve for x
    x = 144,516,904.25/13,634.43
  6. Step 6: Final answer
    x = 10,599.41

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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.