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Finding the Fourth Proportional to 2,001.80, 3,002.52 and 703.19

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Solution

The fourth proportional to 2,001.80, 3,002.52 and 703.19 is: 1,054.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.80 : 3,002.52 = 703.19 : x
  2. Step 2: Convert to fraction form
    2,001.80/3,002.52 = 703.19/x
  3. Step 3: Cross multiply
    2,001.80x = 3,002.52 × 703.19
  4. Step 4: Simplify right side
    2,001.80x = 2,111,342.04
  5. Step 5: Solve for x
    x = 2,111,342.04/2,001.80
  6. Step 6: Final answer
    x = 1,054.72

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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.