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Finding the Fourth Proportional to 8,099.62, 12,065.72 and 7,854.80

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Solution

The fourth proportional to 8,099.62, 12,065.72 and 7,854.80 is: 11,701.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,099.62 : 12,065.72 = 7,854.80 : x
  2. Step 2: Convert to fraction form
    8,099.62/12,065.72 = 7,854.80/x
  3. Step 3: Cross multiply
    8,099.62x = 12,065.72 × 7,854.80
  4. Step 4: Simplify right side
    8,099.62x = 94,773,717.85
  5. Step 5: Solve for x
    x = 94,773,717.85/8,099.62
  6. Step 6: Final answer
    x = 11,701.01

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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.