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Finding the Fourth Proportional to 6,447.68, 8,900.52 and 4,354.64

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Solution

The fourth proportional to 6,447.68, 8,900.52 and 4,354.64 is: 6,011.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,447.68 : 8,900.52 = 4,354.64 : x
  2. Step 2: Convert to fraction form
    6,447.68/8,900.52 = 4,354.64/x
  3. Step 3: Cross multiply
    6,447.68x = 8,900.52 × 4,354.64
  4. Step 4: Simplify right side
    6,447.68x = 38,758,560.41
  5. Step 5: Solve for x
    x = 38,758,560.41/6,447.68
  6. Step 6: Final answer
    x = 6,011.24

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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.