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Finding the Fourth Proportional to 2,162.40, 3,246 and 864.78

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Solution

The fourth proportional to 2,162.40, 3,246 and 864.78 is: 1,298.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.40 : 3,246 = 864.78 : x
  2. Step 2: Convert to fraction form
    2,162.40/3,246 = 864.78/x
  3. Step 3: Cross multiply
    2,162.40x = 3,246 × 864.78
  4. Step 4: Simplify right side
    2,162.40x = 2,807,075.88
  5. Step 5: Solve for x
    x = 2,807,075.88/2,162.40
  6. Step 6: Final answer
    x = 1,298.13

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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.