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Finding the Fourth Proportional to 1,289.87, 1,924.86 and 1,151.44

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Solution

The fourth proportional to 1,289.87, 1,924.86 and 1,151.44 is: 1,718.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.87 : 1,924.86 = 1,151.44 : x
  2. Step 2: Convert to fraction form
    1,289.87/1,924.86 = 1,151.44/x
  3. Step 3: Cross multiply
    1,289.87x = 1,924.86 × 1,151.44
  4. Step 4: Simplify right side
    1,289.87x = 2,216,365.72
  5. Step 5: Solve for x
    x = 2,216,365.72/1,289.87
  6. Step 6: Final answer
    x = 1,718.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.