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Finding the Fourth Proportional to 6,445.71, 9,654.12 and 5,601.96

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Solution

The fourth proportional to 6,445.71, 9,654.12 and 5,601.96 is: 8,390.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,445.71 : 9,654.12 = 5,601.96 : x
  2. Step 2: Convert to fraction form
    6,445.71/9,654.12 = 5,601.96/x
  3. Step 3: Cross multiply
    6,445.71x = 9,654.12 × 5,601.96
  4. Step 4: Simplify right side
    6,445.71x = 54,081,994.08
  5. Step 5: Solve for x
    x = 54,081,994.08/6,445.71
  6. Step 6: Final answer
    x = 8,390.39

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1.5x scale

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.