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Finding the Fourth Proportional to 1,591.57, 2,196.36 and 970.57

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Solution

The fourth proportional to 1,591.57, 2,196.36 and 970.57 is: 1,339.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.57 : 2,196.36 = 970.57 : x
  2. Step 2: Convert to fraction form
    1,591.57/2,196.36 = 970.57/x
  3. Step 3: Cross multiply
    1,591.57x = 2,196.36 × 970.57
  4. Step 4: Simplify right side
    1,591.57x = 2,131,721.13
  5. Step 5: Solve for x
    x = 2,131,721.13/1,591.57
  6. Step 6: Final answer
    x = 1,339.38

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Double scale
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1.5x scale

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.