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Finding the Fourth Proportional to 6,869.97, 9,486.90 and 6,501.69

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Solution

The fourth proportional to 6,869.97, 9,486.90 and 6,501.69 is: 8,978.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,869.97 : 9,486.90 = 6,501.69 : x
  2. Step 2: Convert to fraction form
    6,869.97/9,486.90 = 6,501.69/x
  3. Step 3: Cross multiply
    6,869.97x = 9,486.90 × 6,501.69
  4. Step 4: Simplify right side
    6,869.97x = 61,680,882.86
  5. Step 5: Solve for x
    x = 61,680,882.86/6,869.97
  6. Step 6: Final answer
    x = 8,978.33

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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.