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Finding the Fourth Proportional to 12,806.10, 19,209.15 and 4,041.90

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Solution

The fourth proportional to 12,806.10, 19,209.15 and 4,041.90 is: 6,062.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,806.10 : 19,209.15 = 4,041.90 : x
  2. Step 2: Convert to fraction form
    12,806.10/19,209.15 = 4,041.90/x
  3. Step 3: Cross multiply
    12,806.10x = 19,209.15 × 4,041.90
  4. Step 4: Simplify right side
    12,806.10x = 77,641,463.39
  5. Step 5: Solve for x
    x = 77,641,463.39/12,806.10
  6. Step 6: Final answer
    x = 6,062.85

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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.