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Finding the Fourth Proportional to 12,492.78, 18,743.62 and 7,807.38

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Solution

The fourth proportional to 12,492.78, 18,743.62 and 7,807.38 is: 11,713.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,492.78 : 18,743.62 = 7,807.38 : x
  2. Step 2: Convert to fraction form
    12,492.78/18,743.62 = 7,807.38/x
  3. Step 3: Cross multiply
    12,492.78x = 18,743.62 × 7,807.38
  4. Step 4: Simplify right side
    12,492.78x = 146,338,563.92
  5. Step 5: Solve for x
    x = 146,338,563.92/12,492.78
  6. Step 6: Final answer
    x = 11,713.85

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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.