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Finding the Fourth Proportional to 6,642.60, 9,946.08 and 3,712.56

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Solution

The fourth proportional to 6,642.60, 9,946.08 and 3,712.56 is: 5,558.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,642.60 : 9,946.08 = 3,712.56 : x
  2. Step 2: Convert to fraction form
    6,642.60/9,946.08 = 3,712.56/x
  3. Step 3: Cross multiply
    6,642.60x = 9,946.08 × 3,712.56
  4. Step 4: Simplify right side
    6,642.60x = 36,925,418.76
  5. Step 5: Solve for x
    x = 36,925,418.76/6,642.60
  6. Step 6: Final answer
    x = 5,558.88

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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.