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Finding the Fourth Proportional to 2,972.87, 4,458.95 and 781.77

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Solution

The fourth proportional to 2,972.87, 4,458.95 and 781.77 is: 1,172.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.87 : 4,458.95 = 781.77 : x
  2. Step 2: Convert to fraction form
    2,972.87/4,458.95 = 781.77/x
  3. Step 3: Cross multiply
    2,972.87x = 4,458.95 × 781.77
  4. Step 4: Simplify right side
    2,972.87x = 3,485,864.00
  5. Step 5: Solve for x
    x = 3,485,864.00/2,972.87
  6. Step 6: Final answer
    x = 1,172.56

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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.