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Finding the Fourth Proportional to 10,424.28, 15,622.86 and 7,950

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Solution

The fourth proportional to 10,424.28, 15,622.86 and 7,950 is: 11,914.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,424.28 : 15,622.86 = 7,950 : x
  2. Step 2: Convert to fraction form
    10,424.28/15,622.86 = 7,950/x
  3. Step 3: Cross multiply
    10,424.28x = 15,622.86 × 7,950
  4. Step 4: Simplify right side
    10,424.28x = 124,201,737
  5. Step 5: Solve for x
    x = 124,201,737/10,424.28
  6. Step 6: Final answer
    x = 11,914.66

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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.