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Finding the Fourth Proportional to 11,445.87, 15,796.60 and 6,972.24

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Solution

The fourth proportional to 11,445.87, 15,796.60 and 6,972.24 is: 9,622.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,445.87 : 15,796.60 = 6,972.24 : x
  2. Step 2: Convert to fraction form
    11,445.87/15,796.60 = 6,972.24/x
  3. Step 3: Cross multiply
    11,445.87x = 15,796.60 × 6,972.24
  4. Step 4: Simplify right side
    11,445.87x = 110,137,686.38
  5. Step 5: Solve for x
    x = 110,137,686.38/11,445.87
  6. Step 6: Final answer
    x = 9,622.48

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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.