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Finding the Fourth Proportional to 2,972.50, 4,458.76 and 920.50

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Solution

The fourth proportional to 2,972.50, 4,458.76 and 920.50 is: 1,380.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.50 : 4,458.76 = 920.50 : x
  2. Step 2: Convert to fraction form
    2,972.50/4,458.76 = 920.50/x
  3. Step 3: Cross multiply
    2,972.50x = 4,458.76 × 920.50
  4. Step 4: Simplify right side
    2,972.50x = 4,104,288.58
  5. Step 5: Solve for x
    x = 4,104,288.58/2,972.50
  6. Step 6: Final answer
    x = 1,380.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.