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Finding the Fourth Proportional to 2,430.80, 3,644.40 and 1,336.40

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Solution

The fourth proportional to 2,430.80, 3,644.40 and 1,336.40 is: 2,003.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430.80 : 3,644.40 = 1,336.40 : x
  2. Step 2: Convert to fraction form
    2,430.80/3,644.40 = 1,336.40/x
  3. Step 3: Cross multiply
    2,430.80x = 3,644.40 × 1,336.40
  4. Step 4: Simplify right side
    2,430.80x = 4,870,376.16
  5. Step 5: Solve for x
    x = 4,870,376.16/2,430.80
  6. Step 6: Final answer
    x = 2,003.61

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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.