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Finding the Fourth Proportional to 6,976.67, 9,624.84 and 5,909.90

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Solution

The fourth proportional to 6,976.67, 9,624.84 and 5,909.90 is: 8,153.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,976.67 : 9,624.84 = 5,909.90 : x
  2. Step 2: Convert to fraction form
    6,976.67/9,624.84 = 5,909.90/x
  3. Step 3: Cross multiply
    6,976.67x = 9,624.84 × 5,909.90
  4. Step 4: Simplify right side
    6,976.67x = 56,881,841.92
  5. Step 5: Solve for x
    x = 56,881,841.92/6,976.67
  6. Step 6: Final answer
    x = 8,153.15

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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.