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Finding the Fourth Proportional to 8,693.66, 13,015.65 and 8,141.91

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Solution

The fourth proportional to 8,693.66, 13,015.65 and 8,141.91 is: 12,189.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,693.66 : 13,015.65 = 8,141.91 : x
  2. Step 2: Convert to fraction form
    8,693.66/13,015.65 = 8,141.91/x
  3. Step 3: Cross multiply
    8,693.66x = 13,015.65 × 8,141.91
  4. Step 4: Simplify right side
    8,693.66x = 105,972,250.89
  5. Step 5: Solve for x
    x = 105,972,250.89/8,693.66
  6. Step 6: Final answer
    x = 12,189.61

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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.