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Finding the Fourth Proportional to 11,442.66, 15,797.60 and 8,587

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Solution

The fourth proportional to 11,442.66, 15,797.60 and 8,587 is: 11,855.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,442.66 : 15,797.60 = 8,587 : x
  2. Step 2: Convert to fraction form
    11,442.66/15,797.60 = 8,587/x
  3. Step 3: Cross multiply
    11,442.66x = 15,797.60 × 8,587
  4. Step 4: Simplify right side
    11,442.66x = 135,653,991.20
  5. Step 5: Solve for x
    x = 135,653,991.20/11,442.66
  6. Step 6: Final answer
    x = 11,855.11

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Why These Related Problems?

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