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Finding the Fourth Proportional to 12,474.60, 18,714.60 and 3,710.40

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Solution

The fourth proportional to 12,474.60, 18,714.60 and 3,710.40 is: 5,566.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,474.60 : 18,714.60 = 3,710.40 : x
  2. Step 2: Convert to fraction form
    12,474.60/18,714.60 = 3,710.40/x
  3. Step 3: Cross multiply
    12,474.60x = 18,714.60 × 3,710.40
  4. Step 4: Simplify right side
    12,474.60x = 69,438,651.84
  5. Step 5: Solve for x
    x = 69,438,651.84/12,474.60
  6. Step 6: Final answer
    x = 5,566.40

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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.