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Finding the Fourth Proportional to 6,407.65, 9,611.48 and 2,708.92

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Solution

The fourth proportional to 6,407.65, 9,611.48 and 2,708.92 is: 4,063.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.65 : 9,611.48 = 2,708.92 : x
  2. Step 2: Convert to fraction form
    6,407.65/9,611.48 = 2,708.92/x
  3. Step 3: Cross multiply
    6,407.65x = 9,611.48 × 2,708.92
  4. Step 4: Simplify right side
    6,407.65x = 26,036,730.40
  5. Step 5: Solve for x
    x = 26,036,730.40/6,407.65
  6. Step 6: Final answer
    x = 4,063.38

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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.