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Finding the Fourth Proportional to 31,459.76, 43,412.82 and 17,309.90

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Solution

The fourth proportional to 31,459.76, 43,412.82 and 17,309.90 is: 23,886.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,459.76 : 43,412.82 = 17,309.90 : x
  2. Step 2: Convert to fraction form
    31,459.76/43,412.82 = 17,309.90/x
  3. Step 3: Cross multiply
    31,459.76x = 43,412.82 × 17,309.90
  4. Step 4: Simplify right side
    31,459.76x = 751,471,572.92
  5. Step 5: Solve for x
    x = 751,471,572.92/31,459.76
  6. Step 6: Final answer
    x = 23,886.75

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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.