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Finding the Fourth Proportional to 2,949.43, 4,422.62 and 869.17

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Solution

The fourth proportional to 2,949.43, 4,422.62 and 869.17 is: 1,303.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,949.43 : 4,422.62 = 869.17 : x
  2. Step 2: Convert to fraction form
    2,949.43/4,422.62 = 869.17/x
  3. Step 3: Cross multiply
    2,949.43x = 4,422.62 × 869.17
  4. Step 4: Simplify right side
    2,949.43x = 3,844,008.63
  5. Step 5: Solve for x
    x = 3,844,008.63/2,949.43
  6. Step 6: Final answer
    x = 1,303.31

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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.