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Finding the Fourth Proportional to 12,347.24, 18,520.62 and 3,113

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Solution

The fourth proportional to 12,347.24, 18,520.62 and 3,113 is: 4,669.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,347.24 : 18,520.62 = 3,113 : x
  2. Step 2: Convert to fraction form
    12,347.24/18,520.62 = 3,113/x
  3. Step 3: Cross multiply
    12,347.24x = 18,520.62 × 3,113
  4. Step 4: Simplify right side
    12,347.24x = 57,654,690.06
  5. Step 5: Solve for x
    x = 57,654,690.06/12,347.24
  6. Step 6: Final answer
    x = 4,669.44

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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.