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Finding the Fourth Proportional to 10,500.74, 15,751.11 and 9,859.22

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Solution

The fourth proportional to 10,500.74, 15,751.11 and 9,859.22 is: 14,788.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,500.74 : 15,751.11 = 9,859.22 : x
  2. Step 2: Convert to fraction form
    10,500.74/15,751.11 = 9,859.22/x
  3. Step 3: Cross multiply
    10,500.74x = 15,751.11 × 9,859.22
  4. Step 4: Simplify right side
    10,500.74x = 155,293,579.98
  5. Step 5: Solve for x
    x = 155,293,579.98/10,500.74
  6. Step 6: Final answer
    x = 14,788.83

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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.