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Finding the Fourth Proportional to 10,502.74, 15,764.37 and 8,187.94

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Solution

The fourth proportional to 10,502.74, 15,764.37 and 8,187.94 is: 12,289.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,502.74 : 15,764.37 = 8,187.94 : x
  2. Step 2: Convert to fraction form
    10,502.74/15,764.37 = 8,187.94/x
  3. Step 3: Cross multiply
    10,502.74x = 15,764.37 × 8,187.94
  4. Step 4: Simplify right side
    10,502.74x = 129,077,715.70
  5. Step 5: Solve for x
    x = 129,077,715.70/10,502.74
  6. Step 6: Final answer
    x = 12,289.91

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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.