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Finding the Fourth Proportional to 8,402.87, 11,595.45 and 4,865.40

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Solution

The fourth proportional to 8,402.87, 11,595.45 and 4,865.40 is: 6,713.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,402.87 : 11,595.45 = 4,865.40 : x
  2. Step 2: Convert to fraction form
    8,402.87/11,595.45 = 4,865.40/x
  3. Step 3: Cross multiply
    8,402.87x = 11,595.45 × 4,865.40
  4. Step 4: Simplify right side
    8,402.87x = 56,416,520.68
  5. Step 5: Solve for x
    x = 56,416,520.68/8,402.87
  6. Step 6: Final answer
    x = 6,713.96

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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.