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Finding the Fourth Proportional to 8,478.24, 12,703.68 and 6,009.12

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Solution

The fourth proportional to 8,478.24, 12,703.68 and 6,009.12 is: 9,003.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,478.24 : 12,703.68 = 6,009.12 : x
  2. Step 2: Convert to fraction form
    8,478.24/12,703.68 = 6,009.12/x
  3. Step 3: Cross multiply
    8,478.24x = 12,703.68 × 6,009.12
  4. Step 4: Simplify right side
    8,478.24x = 76,337,937.56
  5. Step 5: Solve for x
    x = 76,337,937.56/8,478.24
  6. Step 6: Final answer
    x = 9,003.98

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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.