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Finding the Fourth Proportional to 12,447.88, 18,671.16 and 4,656.10

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Solution

The fourth proportional to 12,447.88, 18,671.16 and 4,656.10 is: 6,983.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,447.88 : 18,671.16 = 4,656.10 : x
  2. Step 2: Convert to fraction form
    12,447.88/18,671.16 = 4,656.10/x
  3. Step 3: Cross multiply
    12,447.88x = 18,671.16 × 4,656.10
  4. Step 4: Simplify right side
    12,447.88x = 86,934,788.08
  5. Step 5: Solve for x
    x = 86,934,788.08/12,447.88
  6. Step 6: Final answer
    x = 6,983.90

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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.