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Finding the Fourth Proportional to 7,854.89, 11,767.29 and 7,591.08

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Solution

The fourth proportional to 7,854.89, 11,767.29 and 7,591.08 is: 11,372.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854.89 : 11,767.29 = 7,591.08 : x
  2. Step 2: Convert to fraction form
    7,854.89/11,767.29 = 7,591.08/x
  3. Step 3: Cross multiply
    7,854.89x = 11,767.29 × 7,591.08
  4. Step 4: Simplify right side
    7,854.89x = 89,326,439.77
  5. Step 5: Solve for x
    x = 89,326,439.77/7,854.89
  6. Step 6: Final answer
    x = 11,372.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.