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Finding the Fourth Proportional to 31,502.13, 47,254.11 and 11,776.91

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Solution

The fourth proportional to 31,502.13, 47,254.11 and 11,776.91 is: 17,665.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,502.13 : 47,254.11 = 11,776.91 : x
  2. Step 2: Convert to fraction form
    31,502.13/47,254.11 = 11,776.91/x
  3. Step 3: Cross multiply
    31,502.13x = 47,254.11 × 11,776.91
  4. Step 4: Simplify right side
    31,502.13x = 556,507,400.60
  5. Step 5: Solve for x
    x = 556,507,400.60/31,502.13
  6. Step 6: Final answer
    x = 17,665.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.