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Finding the Fourth Proportional to 6,678.68, 9,974.44 and 5,680.86

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Solution

The fourth proportional to 6,678.68, 9,974.44 and 5,680.86 is: 8,484.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,678.68 : 9,974.44 = 5,680.86 : x
  2. Step 2: Convert to fraction form
    6,678.68/9,974.44 = 5,680.86/x
  3. Step 3: Cross multiply
    6,678.68x = 9,974.44 × 5,680.86
  4. Step 4: Simplify right side
    6,678.68x = 56,663,397.22
  5. Step 5: Solve for x
    x = 56,663,397.22/6,678.68
  6. Step 6: Final answer
    x = 8,484.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.