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Finding the Fourth Proportional to 6,410.60, 9,615.90 and 5,705.90

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Solution

The fourth proportional to 6,410.60, 9,615.90 and 5,705.90 is: 8,558.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410.60 : 9,615.90 = 5,705.90 : x
  2. Step 2: Convert to fraction form
    6,410.60/9,615.90 = 5,705.90/x
  3. Step 3: Cross multiply
    6,410.60x = 9,615.90 × 5,705.90
  4. Step 4: Simplify right side
    6,410.60x = 54,867,363.81
  5. Step 5: Solve for x
    x = 54,867,363.81/6,410.60
  6. Step 6: Final answer
    x = 8,558.85

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Similar ratio
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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.