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Finding the Fourth Proportional to 6,464.68, 8,921.34 and 6,241.17

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Solution

The fourth proportional to 6,464.68, 8,921.34 and 6,241.17 is: 8,612.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.68 : 8,921.34 = 6,241.17 : x
  2. Step 2: Convert to fraction form
    6,464.68/8,921.34 = 6,241.17/x
  3. Step 3: Cross multiply
    6,464.68x = 8,921.34 × 6,241.17
  4. Step 4: Simplify right side
    6,464.68x = 55,679,599.57
  5. Step 5: Solve for x
    x = 55,679,599.57/6,464.68
  6. Step 6: Final answer
    x = 8,612.89

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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.