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Finding the Fourth Proportional to 2,001.65, 3,002.63 and 540.78

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Solution

The fourth proportional to 2,001.65, 3,002.63 and 540.78 is: 811.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.65 : 3,002.63 = 540.78 : x
  2. Step 2: Convert to fraction form
    2,001.65/3,002.63 = 540.78/x
  3. Step 3: Cross multiply
    2,001.65x = 3,002.63 × 540.78
  4. Step 4: Simplify right side
    2,001.65x = 1,623,762.25
  5. Step 5: Solve for x
    x = 1,623,762.25/2,001.65
  6. Step 6: Final answer
    x = 811.21

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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.