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Finding the Fourth Proportional to 1,579.95, 2,180.36 and 871.83

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Solution

The fourth proportional to 1,579.95, 2,180.36 and 871.83 is: 1,203.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,579.95 : 2,180.36 = 871.83 : x
  2. Step 2: Convert to fraction form
    1,579.95/2,180.36 = 871.83/x
  3. Step 3: Cross multiply
    1,579.95x = 2,180.36 × 871.83
  4. Step 4: Simplify right side
    1,579.95x = 1,900,888.00
  5. Step 5: Solve for x
    x = 1,900,888.00/1,579.95
  6. Step 6: Final answer
    x = 1,203.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.