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Finding the Fourth Proportional to 3,565.76, 4,920.70 and 1,972.50

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Solution

The fourth proportional to 3,565.76, 4,920.70 and 1,972.50 is: 2,722.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565.76 : 4,920.70 = 1,972.50 : x
  2. Step 2: Convert to fraction form
    3,565.76/4,920.70 = 1,972.50/x
  3. Step 3: Cross multiply
    3,565.76x = 4,920.70 × 1,972.50
  4. Step 4: Simplify right side
    3,565.76x = 9,706,080.75
  5. Step 5: Solve for x
    x = 9,706,080.75/3,565.76
  6. Step 6: Final answer
    x = 2,722.02

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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.