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Finding the Fourth Proportional to 2,159.40, 3,239.10 and 699.57

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Solution

The fourth proportional to 2,159.40, 3,239.10 and 699.57 is: 1,049.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.40 : 3,239.10 = 699.57 : x
  2. Step 2: Convert to fraction form
    2,159.40/3,239.10 = 699.57/x
  3. Step 3: Cross multiply
    2,159.40x = 3,239.10 × 699.57
  4. Step 4: Simplify right side
    2,159.40x = 2,265,977.19
  5. Step 5: Solve for x
    x = 2,265,977.19/2,159.40
  6. Step 6: Final answer
    x = 1,049.36

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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.