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Finding the Fourth Proportional to 3,407.79, 4,702.33 and 1,972.41

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Solution

The fourth proportional to 3,407.79, 4,702.33 and 1,972.41 is: 2,721.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.79 : 4,702.33 = 1,972.41 : x
  2. Step 2: Convert to fraction form
    3,407.79/4,702.33 = 1,972.41/x
  3. Step 3: Cross multiply
    3,407.79x = 4,702.33 × 1,972.41
  4. Step 4: Simplify right side
    3,407.79x = 9,274,922.72
  5. Step 5: Solve for x
    x = 9,274,922.72/3,407.79
  6. Step 6: Final answer
    x = 2,721.68

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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.