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Finding the Fourth Proportional to 12,291.80, 18,440.40 and 3,970.40

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Solution

The fourth proportional to 12,291.80, 18,440.40 and 3,970.40 is: 5,956.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,291.80 : 18,440.40 = 3,970.40 : x
  2. Step 2: Convert to fraction form
    12,291.80/18,440.40 = 3,970.40/x
  3. Step 3: Cross multiply
    12,291.80x = 18,440.40 × 3,970.40
  4. Step 4: Simplify right side
    12,291.80x = 73,215,764.16
  5. Step 5: Solve for x
    x = 73,215,764.16/12,291.80
  6. Step 6: Final answer
    x = 5,956.47

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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.