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Finding the Fourth Proportional to 4,001.60, 6,004.20 and 1,809.20

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Solution

The fourth proportional to 4,001.60, 6,004.20 and 1,809.20 is: 2,714.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,001.60 : 6,004.20 = 1,809.20 : x
  2. Step 2: Convert to fraction form
    4,001.60/6,004.20 = 1,809.20/x
  3. Step 3: Cross multiply
    4,001.60x = 6,004.20 × 1,809.20
  4. Step 4: Simplify right side
    4,001.60x = 10,862,798.64
  5. Step 5: Solve for x
    x = 10,862,798.64/4,001.60
  6. Step 6: Final answer
    x = 2,714.61

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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.