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Finding the Fourth Proportional to 8,678.62, 11,978.36 and 5,657.52

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Solution

The fourth proportional to 8,678.62, 11,978.36 and 5,657.52 is: 7,808.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,678.62 : 11,978.36 = 5,657.52 : x
  2. Step 2: Convert to fraction form
    8,678.62/11,978.36 = 5,657.52/x
  3. Step 3: Cross multiply
    8,678.62x = 11,978.36 × 5,657.52
  4. Step 4: Simplify right side
    8,678.62x = 67,767,811.27
  5. Step 5: Solve for x
    x = 67,767,811.27/8,678.62
  6. Step 6: Final answer
    x = 7,808.59

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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.