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Finding the Fourth Proportional to 14,493.50, 20,001.03 and 7,869.50

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Solution

The fourth proportional to 14,493.50, 20,001.03 and 7,869.50 is: 10,859.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,493.50 : 20,001.03 = 7,869.50 : x
  2. Step 2: Convert to fraction form
    14,493.50/20,001.03 = 7,869.50/x
  3. Step 3: Cross multiply
    14,493.50x = 20,001.03 × 7,869.50
  4. Step 4: Simplify right side
    14,493.50x = 157,398,105.59
  5. Step 5: Solve for x
    x = 157,398,105.59/14,493.50
  6. Step 6: Final answer
    x = 10,859.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.