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Finding the Fourth Proportional to 4,002.80, 6,002.40 and 1,810.40

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Solution

The fourth proportional to 4,002.80, 6,002.40 and 1,810.40 is: 2,714.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,002.80 : 6,002.40 = 1,810.40 : x
  2. Step 2: Convert to fraction form
    4,002.80/6,002.40 = 1,810.40/x
  3. Step 3: Cross multiply
    4,002.80x = 6,002.40 × 1,810.40
  4. Step 4: Simplify right side
    4,002.80x = 10,866,744.96
  5. Step 5: Solve for x
    x = 10,866,744.96/4,002.80
  6. Step 6: Final answer
    x = 2,714.79

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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.