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Finding the Fourth Proportional to 10,900, 15,043.62 and 6,422.32

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Solution

The fourth proportional to 10,900, 15,043.62 and 6,422.32 is: 8,863.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,900 : 15,043.62 = 6,422.32 : x
  2. Step 2: Convert to fraction form
    10,900/15,043.62 = 6,422.32/x
  3. Step 3: Cross multiply
    10,900x = 15,043.62 × 6,422.32
  4. Step 4: Simplify right side
    10,900x = 96,614,941.60
  5. Step 5: Solve for x
    x = 96,614,941.60/10,900
  6. Step 6: Final answer
    x = 8,863.76

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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.