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Finding the Fourth Proportional to 2,483.87, 3,726.20 and 840.51

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Solution

The fourth proportional to 2,483.87, 3,726.20 and 840.51 is: 1,260.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,483.87 : 3,726.20 = 840.51 : x
  2. Step 2: Convert to fraction form
    2,483.87/3,726.20 = 840.51/x
  3. Step 3: Cross multiply
    2,483.87x = 3,726.20 × 840.51
  4. Step 4: Simplify right side
    2,483.87x = 3,131,908.36
  5. Step 5: Solve for x
    x = 3,131,908.36/2,483.87
  6. Step 6: Final answer
    x = 1,260.90

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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.