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Finding the Fourth Proportional to 12,530.04, 18,799.98 and 5,138.04

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Solution

The fourth proportional to 12,530.04, 18,799.98 and 5,138.04 is: 7,709.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,530.04 : 18,799.98 = 5,138.04 : x
  2. Step 2: Convert to fraction form
    12,530.04/18,799.98 = 5,138.04/x
  3. Step 3: Cross multiply
    12,530.04x = 18,799.98 × 5,138.04
  4. Step 4: Simplify right side
    12,530.04x = 96,595,049.24
  5. Step 5: Solve for x
    x = 96,595,049.24/12,530.04
  6. Step 6: Final answer
    x = 7,709.08

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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.