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Finding the Fourth Proportional to 8,066.66, 12,085.13 and 5,138.78

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Solution

The fourth proportional to 8,066.66, 12,085.13 and 5,138.78 is: 7,698.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,066.66 : 12,085.13 = 5,138.78 : x
  2. Step 2: Convert to fraction form
    8,066.66/12,085.13 = 5,138.78/x
  3. Step 3: Cross multiply
    8,066.66x = 12,085.13 × 5,138.78
  4. Step 4: Simplify right side
    8,066.66x = 62,102,776.76
  5. Step 5: Solve for x
    x = 62,102,776.76/8,066.66
  6. Step 6: Final answer
    x = 7,698.70

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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.