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Finding the Fourth Proportional to 6,406.65, 9,609.98 and 2,707.92

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Solution

The fourth proportional to 6,406.65, 9,609.98 and 2,707.92 is: 4,061.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.65 : 9,609.98 = 2,707.92 : x
  2. Step 2: Convert to fraction form
    6,406.65/9,609.98 = 2,707.92/x
  3. Step 3: Cross multiply
    6,406.65x = 9,609.98 × 2,707.92
  4. Step 4: Simplify right side
    6,406.65x = 26,023,043.50
  5. Step 5: Solve for x
    x = 26,023,043.50/6,406.65
  6. Step 6: Final answer
    x = 4,061.88

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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.