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Finding the Fourth Proportional to 3,565.75, 4,920.62 and 1,972.40

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Solution

The fourth proportional to 3,565.75, 4,920.62 and 1,972.40 is: 2,721.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565.75 : 4,920.62 = 1,972.40 : x
  2. Step 2: Convert to fraction form
    3,565.75/4,920.62 = 1,972.40/x
  3. Step 3: Cross multiply
    3,565.75x = 4,920.62 × 1,972.40
  4. Step 4: Simplify right side
    3,565.75x = 9,705,437.62
  5. Step 5: Solve for x
    x = 9,705,437.62/3,565.75
  6. Step 6: Final answer
    x = 2,721.85

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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.