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Finding the Fourth Proportional to 2,820.76, 4,231.13 and 972.05

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Solution

The fourth proportional to 2,820.76, 4,231.13 and 972.05 is: 1,458.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,820.76 : 4,231.13 = 972.05 : x
  2. Step 2: Convert to fraction form
    2,820.76/4,231.13 = 972.05/x
  3. Step 3: Cross multiply
    2,820.76x = 4,231.13 × 972.05
  4. Step 4: Simplify right side
    2,820.76x = 4,112,843.90
  5. Step 5: Solve for x
    x = 4,112,843.90/2,820.76
  6. Step 6: Final answer
    x = 1,458.06

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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.