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Finding the Fourth Proportional to 12,274.63, 18,398.15 and 5,251.08

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Solution

The fourth proportional to 12,274.63, 18,398.15 and 5,251.08 is: 7,870.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,274.63 : 18,398.15 = 5,251.08 : x
  2. Step 2: Convert to fraction form
    12,274.63/18,398.15 = 5,251.08/x
  3. Step 3: Cross multiply
    12,274.63x = 18,398.15 × 5,251.08
  4. Step 4: Simplify right side
    12,274.63x = 96,610,157.50
  5. Step 5: Solve for x
    x = 96,610,157.50/12,274.63
  6. Step 6: Final answer
    x = 7,870.72

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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.