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Finding the Fourth Proportional to 8,402.69, 11,595.20 and 4,865.22

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Solution

The fourth proportional to 8,402.69, 11,595.20 and 4,865.22 is: 6,713.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,402.69 : 11,595.20 = 4,865.22 : x
  2. Step 2: Convert to fraction form
    8,402.69/11,595.20 = 4,865.22/x
  3. Step 3: Cross multiply
    8,402.69x = 11,595.20 × 4,865.22
  4. Step 4: Simplify right side
    8,402.69x = 56,413,174.62
  5. Step 5: Solve for x
    x = 56,413,174.62/8,402.69
  6. Step 6: Final answer
    x = 6,713.71

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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.