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Finding the Fourth Proportional to 12,532.54, 18,886.90 and 11,284.66

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Solution

The fourth proportional to 12,532.54, 18,886.90 and 11,284.66 is: 17,006.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,532.54 : 18,886.90 = 11,284.66 : x
  2. Step 2: Convert to fraction form
    12,532.54/18,886.90 = 11,284.66/x
  3. Step 3: Cross multiply
    12,532.54x = 18,886.90 × 11,284.66
  4. Step 4: Simplify right side
    12,532.54x = 213,132,244.95
  5. Step 5: Solve for x
    x = 213,132,244.95/12,532.54
  6. Step 6: Final answer
    x = 17,006.31

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.