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Finding the Fourth Proportional to 13,509.90, 20,251.00 and 5,187.68

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Solution

The fourth proportional to 13,509.90, 20,251.00 and 5,187.68 is: 7,776.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,509.90 : 20,251.00 = 5,187.68 : x
  2. Step 2: Convert to fraction form
    13,509.90/20,251.00 = 5,187.68/x
  3. Step 3: Cross multiply
    13,509.90x = 20,251.00 × 5,187.68
  4. Step 4: Simplify right side
    13,509.90x = 105,055,644.08
  5. Step 5: Solve for x
    x = 105,055,644.08/13,509.90
  6. Step 6: Final answer
    x = 7,776.20

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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.