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Finding the Fourth Proportional to 6,387.60, 9,581.40 and 5,739.60

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Solution

The fourth proportional to 6,387.60, 9,581.40 and 5,739.60 is: 8,609.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,387.60 : 9,581.40 = 5,739.60 : x
  2. Step 2: Convert to fraction form
    6,387.60/9,581.40 = 5,739.60/x
  3. Step 3: Cross multiply
    6,387.60x = 9,581.40 × 5,739.60
  4. Step 4: Simplify right side
    6,387.60x = 54,993,403.44
  5. Step 5: Solve for x
    x = 54,993,403.44/6,387.60
  6. Step 6: Final answer
    x = 8,609.40

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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.