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Finding the Fourth Proportional to 7,877.43, 11,801.01 and 7,613.64

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Solution

The fourth proportional to 7,877.43, 11,801.01 and 7,613.64 is: 11,405.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,877.43 : 11,801.01 = 7,613.64 : x
  2. Step 2: Convert to fraction form
    7,877.43/11,801.01 = 7,613.64/x
  3. Step 3: Cross multiply
    7,877.43x = 11,801.01 × 7,613.64
  4. Step 4: Simplify right side
    7,877.43x = 89,848,641.78
  5. Step 5: Solve for x
    x = 89,848,641.78/7,877.43
  6. Step 6: Final answer
    x = 11,405.83

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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.