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Finding the Fourth Proportional to 1,876.50, 2,816.03 and 660.50

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Solution

The fourth proportional to 1,876.50, 2,816.03 and 660.50 is: 991.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,876.50 : 2,816.03 = 660.50 : x
  2. Step 2: Convert to fraction form
    1,876.50/2,816.03 = 660.50/x
  3. Step 3: Cross multiply
    1,876.50x = 2,816.03 × 660.50
  4. Step 4: Simplify right side
    1,876.50x = 1,859,987.82
  5. Step 5: Solve for x
    x = 1,859,987.82/1,876.50
  6. Step 6: Final answer
    x = 991.20

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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.