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Finding the Fourth Proportional to 8,478.30, 12,703.11 and 5,184.48

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Solution

The fourth proportional to 8,478.30, 12,703.11 and 5,184.48 is: 7,767.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,478.30 : 12,703.11 = 5,184.48 : x
  2. Step 2: Convert to fraction form
    8,478.30/12,703.11 = 5,184.48/x
  3. Step 3: Cross multiply
    8,478.30x = 12,703.11 × 5,184.48
  4. Step 4: Simplify right side
    8,478.30x = 65,859,019.73
  5. Step 5: Solve for x
    x = 65,859,019.73/8,478.30
  6. Step 6: Final answer
    x = 7,767.95

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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.