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Finding the Fourth Proportional to 38,502.68, 53,163.78 and 29,536

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Solution

The fourth proportional to 38,502.68, 53,163.78 and 29,536 is: 40,782.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,502.68 : 53,163.78 = 29,536 : x
  2. Step 2: Convert to fraction form
    38,502.68/53,163.78 = 29,536/x
  3. Step 3: Cross multiply
    38,502.68x = 53,163.78 × 29,536
  4. Step 4: Simplify right side
    38,502.68x = 1,570,245,406.08
  5. Step 5: Solve for x
    x = 1,570,245,406.08/38,502.68
  6. Step 6: Final answer
    x = 40,782.76

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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.