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Finding the Fourth Proportional to 1,838.99, 2,756.55 and 864.29

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Solution

The fourth proportional to 1,838.99, 2,756.55 and 864.29 is: 1,295.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838.99 : 2,756.55 = 864.29 : x
  2. Step 2: Convert to fraction form
    1,838.99/2,756.55 = 864.29/x
  3. Step 3: Cross multiply
    1,838.99x = 2,756.55 × 864.29
  4. Step 4: Simplify right side
    1,838.99x = 2,382,458.60
  5. Step 5: Solve for x
    x = 2,382,458.60/1,838.99
  6. Step 6: Final answer
    x = 1,295.53

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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.