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Finding the Fourth Proportional to 6,494.81, 8,956.86 and 4,255.87

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Solution

The fourth proportional to 6,494.81, 8,956.86 and 4,255.87 is: 5,869.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494.81 : 8,956.86 = 4,255.87 : x
  2. Step 2: Convert to fraction form
    6,494.81/8,956.86 = 4,255.87/x
  3. Step 3: Cross multiply
    6,494.81x = 8,956.86 × 4,255.87
  4. Step 4: Simplify right side
    6,494.81x = 38,119,231.77
  5. Step 5: Solve for x
    x = 38,119,231.77/6,494.81
  6. Step 6: Final answer
    x = 5,869.18

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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.