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Finding the Fourth Proportional to 19,886.66, 29,825.37 and 8,787.29

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Solution

The fourth proportional to 19,886.66, 29,825.37 and 8,787.29 is: 13,178.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,886.66 : 29,825.37 = 8,787.29 : x
  2. Step 2: Convert to fraction form
    19,886.66/29,825.37 = 8,787.29/x
  3. Step 3: Cross multiply
    19,886.66x = 29,825.37 × 8,787.29
  4. Step 4: Simplify right side
    19,886.66x = 262,084,175.55
  5. Step 5: Solve for x
    x = 262,084,175.55/19,886.66
  6. Step 6: Final answer
    x = 13,178.89

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Why These Related Problems?

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