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Finding the Fourth Proportional to 2,077.89, 3,117.03 and 908

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Solution

The fourth proportional to 2,077.89, 3,117.03 and 908 is: 1,362.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.89 : 3,117.03 = 908 : x
  2. Step 2: Convert to fraction form
    2,077.89/3,117.03 = 908/x
  3. Step 3: Cross multiply
    2,077.89x = 3,117.03 × 908
  4. Step 4: Simplify right side
    2,077.89x = 2,830,263.24
  5. Step 5: Solve for x
    x = 2,830,263.24/2,077.89
  6. Step 6: Final answer
    x = 1,362.09

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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.