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Finding the Fourth Proportional to 6,447.97, 8,898.20 and 3,653.47

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Solution

The fourth proportional to 6,447.97, 8,898.20 and 3,653.47 is: 5,041.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,447.97 : 8,898.20 = 3,653.47 : x
  2. Step 2: Convert to fraction form
    6,447.97/8,898.20 = 3,653.47/x
  3. Step 3: Cross multiply
    6,447.97x = 8,898.20 × 3,653.47
  4. Step 4: Simplify right side
    6,447.97x = 32,509,306.75
  5. Step 5: Solve for x
    x = 32,509,306.75/6,447.97
  6. Step 6: Final answer
    x = 5,041.79

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1.5x scale

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.