Home / 2,821.51-4,232.37-972.61

Finding the Fourth Proportional to 2,821.51, 4,232.37 and 972.61

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Solution

The fourth proportional to 2,821.51, 4,232.37 and 972.61 is: 1,458.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,821.51 : 4,232.37 = 972.61 : x
  2. Step 2: Convert to fraction form
    2,821.51/4,232.37 = 972.61/x
  3. Step 3: Cross multiply
    2,821.51x = 4,232.37 × 972.61
  4. Step 4: Simplify right side
    2,821.51x = 4,116,445.39
  5. Step 5: Solve for x
    x = 4,116,445.39/2,821.51
  6. Step 6: Final answer
    x = 1,458.95

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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.