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Finding the Fourth Proportional to 31,151.86, 42,990.16 and 17,005.21

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Solution

The fourth proportional to 31,151.86, 42,990.16 and 17,005.21 is: 23,467.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,151.86 : 42,990.16 = 17,005.21 : x
  2. Step 2: Convert to fraction form
    31,151.86/42,990.16 = 17,005.21/x
  3. Step 3: Cross multiply
    31,151.86x = 42,990.16 × 17,005.21
  4. Step 4: Simplify right side
    31,151.86x = 731,056,613.71
  5. Step 5: Solve for x
    x = 731,056,613.71/31,151.86
  6. Step 6: Final answer
    x = 23,467.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.