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Finding the Fourth Proportional to 10,393.75, 15,564.05 and 6,872.99

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Solution

The fourth proportional to 10,393.75, 15,564.05 and 6,872.99 is: 10,291.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,393.75 : 15,564.05 = 6,872.99 : x
  2. Step 2: Convert to fraction form
    10,393.75/15,564.05 = 6,872.99/x
  3. Step 3: Cross multiply
    10,393.75x = 15,564.05 × 6,872.99
  4. Step 4: Simplify right side
    10,393.75x = 106,971,473.60
  5. Step 5: Solve for x
    x = 106,971,473.60/10,393.75
  6. Step 6: Final answer
    x = 10,291.90

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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.