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Finding the Fourth Proportional to 10,731.72, 14,816.34 and 8,502.60

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Solution

The fourth proportional to 10,731.72, 14,816.34 and 8,502.60 is: 11,738.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,731.72 : 14,816.34 = 8,502.60 : x
  2. Step 2: Convert to fraction form
    10,731.72/14,816.34 = 8,502.60/x
  3. Step 3: Cross multiply
    10,731.72x = 14,816.34 × 8,502.60
  4. Step 4: Simplify right side
    10,731.72x = 125,977,412.48
  5. Step 5: Solve for x
    x = 125,977,412.48/10,731.72
  6. Step 6: Final answer
    x = 11,738.79

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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.