Home / 2,464.46-3,697.28-821.02

Finding the Fourth Proportional to 2,464.46, 3,697.28 and 821.02

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Solution

The fourth proportional to 2,464.46, 3,697.28 and 821.02 is: 1,231.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.46 : 3,697.28 = 821.02 : x
  2. Step 2: Convert to fraction form
    2,464.46/3,697.28 = 821.02/x
  3. Step 3: Cross multiply
    2,464.46x = 3,697.28 × 821.02
  4. Step 4: Simplify right side
    2,464.46x = 3,035,518.23
  5. Step 5: Solve for x
    x = 3,035,518.23/2,464.46
  6. Step 6: Final answer
    x = 1,231.72

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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.