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Finding the Fourth Proportional to 1,591, 2,195.58 and 970.12

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Solution

The fourth proportional to 1,591, 2,195.58 and 970.12 is: 1,338.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591 : 2,195.58 = 970.12 : x
  2. Step 2: Convert to fraction form
    1,591/2,195.58 = 970.12/x
  3. Step 3: Cross multiply
    1,591x = 2,195.58 × 970.12
  4. Step 4: Simplify right side
    1,591x = 2,129,976.07
  5. Step 5: Solve for x
    x = 2,129,976.07/1,591
  6. Step 6: Final answer
    x = 1,338.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.