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Finding the Fourth Proportional to 23,456.40, 32,369.40 and 12,845.76

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Solution

The fourth proportional to 23,456.40, 32,369.40 and 12,845.76 is: 17,726.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,456.40 : 32,369.40 = 12,845.76 : x
  2. Step 2: Convert to fraction form
    23,456.40/32,369.40 = 12,845.76/x
  3. Step 3: Cross multiply
    23,456.40x = 32,369.40 × 12,845.76
  4. Step 4: Simplify right side
    23,456.40x = 415,809,543.74
  5. Step 5: Solve for x
    x = 415,809,543.74/23,456.40
  6. Step 6: Final answer
    x = 17,726.91

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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.