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Finding the Fourth Proportional to 7,091.16, 9,778.14 and 6,929.88

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Solution

The fourth proportional to 7,091.16, 9,778.14 and 6,929.88 is: 9,555.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,091.16 : 9,778.14 = 6,929.88 : x
  2. Step 2: Convert to fraction form
    7,091.16/9,778.14 = 6,929.88/x
  3. Step 3: Cross multiply
    7,091.16x = 9,778.14 × 6,929.88
  4. Step 4: Simplify right side
    7,091.16x = 67,761,336.82
  5. Step 5: Solve for x
    x = 67,761,336.82/7,091.16
  6. Step 6: Final answer
    x = 9,555.75

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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.