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Finding the Fourth Proportional to 8,317.50, 12,465.79 and 4,158.66

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Solution

The fourth proportional to 8,317.50, 12,465.79 and 4,158.66 is: 6,232.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,317.50 : 12,465.79 = 4,158.66 : x
  2. Step 2: Convert to fraction form
    8,317.50/12,465.79 = 4,158.66/x
  3. Step 3: Cross multiply
    8,317.50x = 12,465.79 × 4,158.66
  4. Step 4: Simplify right side
    8,317.50x = 51,840,982.24
  5. Step 5: Solve for x
    x = 51,840,982.24/8,317.50
  6. Step 6: Final answer
    x = 6,232.76

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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.