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Finding the Fourth Proportional to 3,122.76, 4,309.40 and 1,725.50

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Solution

The fourth proportional to 3,122.76, 4,309.40 and 1,725.50 is: 2,381.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.76 : 4,309.40 = 1,725.50 : x
  2. Step 2: Convert to fraction form
    3,122.76/4,309.40 = 1,725.50/x
  3. Step 3: Cross multiply
    3,122.76x = 4,309.40 × 1,725.50
  4. Step 4: Simplify right side
    3,122.76x = 7,435,869.70
  5. Step 5: Solve for x
    x = 7,435,869.70/3,122.76
  6. Step 6: Final answer
    x = 2,381.19

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Half scale
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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.