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Finding the Fourth Proportional to 2,001.20, 3,000.76 and 767.24

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Solution

The fourth proportional to 2,001.20, 3,000.76 and 767.24 is: 1,150.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.20 : 3,000.76 = 767.24 : x
  2. Step 2: Convert to fraction form
    2,001.20/3,000.76 = 767.24/x
  3. Step 3: Cross multiply
    2,001.20x = 3,000.76 × 767.24
  4. Step 4: Simplify right side
    2,001.20x = 2,302,303.10
  5. Step 5: Solve for x
    x = 2,302,303.10/2,001.20
  6. Step 6: Final answer
    x = 1,150.46

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1.5x scale

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.