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Finding the Fourth Proportional to 6,123, 8,451.66 and 3,915

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Solution

The fourth proportional to 6,123, 8,451.66 and 3,915 is: 5,403.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,123 : 8,451.66 = 3,915 : x
  2. Step 2: Convert to fraction form
    6,123/8,451.66 = 3,915/x
  3. Step 3: Cross multiply
    6,123x = 8,451.66 × 3,915
  4. Step 4: Simplify right side
    6,123x = 33,088,248.90
  5. Step 5: Solve for x
    x = 33,088,248.90/6,123
  6. Step 6: Final answer
    x = 5,403.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.