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Finding the Fourth Proportional to 13,461.14, 20,187.05 and 5,143.52

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Solution

The fourth proportional to 13,461.14, 20,187.05 and 5,143.52 is: 7,713.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,461.14 : 20,187.05 = 5,143.52 : x
  2. Step 2: Convert to fraction form
    13,461.14/20,187.05 = 5,143.52/x
  3. Step 3: Cross multiply
    13,461.14x = 20,187.05 × 5,143.52
  4. Step 4: Simplify right side
    13,461.14x = 103,832,368.76
  5. Step 5: Solve for x
    x = 103,832,368.76/13,461.14
  6. Step 6: Final answer
    x = 7,713.49

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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.