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Finding the Fourth Proportional to 2,356.90, 3,535.21 and 969.88

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Solution

The fourth proportional to 2,356.90, 3,535.21 and 969.88 is: 1,454.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.90 : 3,535.21 = 969.88 : x
  2. Step 2: Convert to fraction form
    2,356.90/3,535.21 = 969.88/x
  3. Step 3: Cross multiply
    2,356.90x = 3,535.21 × 969.88
  4. Step 4: Simplify right side
    2,356.90x = 3,428,729.47
  5. Step 5: Solve for x
    x = 3,428,729.47/2,356.90
  6. Step 6: Final answer
    x = 1,454.76

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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.