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Finding the Fourth Proportional to 12,403.92, 18,607.80 and 4,194

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Solution

The fourth proportional to 12,403.92, 18,607.80 and 4,194 is: 6,291.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,403.92 : 18,607.80 = 4,194 : x
  2. Step 2: Convert to fraction form
    12,403.92/18,607.80 = 4,194/x
  3. Step 3: Cross multiply
    12,403.92x = 18,607.80 × 4,194
  4. Step 4: Simplify right side
    12,403.92x = 78,041,113.20
  5. Step 5: Solve for x
    x = 78,041,113.20/12,403.92
  6. Step 6: Final answer
    x = 6,291.65

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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.