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Finding the Fourth Proportional to 13,498.74, 20,230.44 and 7,251.45

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Solution

The fourth proportional to 13,498.74, 20,230.44 and 7,251.45 is: 10,867.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,498.74 : 20,230.44 = 7,251.45 : x
  2. Step 2: Convert to fraction form
    13,498.74/20,230.44 = 7,251.45/x
  3. Step 3: Cross multiply
    13,498.74x = 20,230.44 × 7,251.45
  4. Step 4: Simplify right side
    13,498.74x = 146,700,024.14
  5. Step 5: Solve for x
    x = 146,700,024.14/13,498.74
  6. Step 6: Final answer
    x = 10,867.68

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1.5x scale

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.