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Finding the Fourth Proportional to 8,689.65, 11,987.30 and 5,497.57

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Solution

The fourth proportional to 8,689.65, 11,987.30 and 5,497.57 is: 7,583.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,689.65 : 11,987.30 = 5,497.57 : x
  2. Step 2: Convert to fraction form
    8,689.65/11,987.30 = 5,497.57/x
  3. Step 3: Cross multiply
    8,689.65x = 11,987.30 × 5,497.57
  4. Step 4: Simplify right side
    8,689.65x = 65,901,020.86
  5. Step 5: Solve for x
    x = 65,901,020.86/8,689.65
  6. Step 6: Final answer
    x = 7,583.85

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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.