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Finding the Fourth Proportional to 3,902.77, 5,848.89 and 1,956.34

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Solution

The fourth proportional to 3,902.77, 5,848.89 and 1,956.34 is: 2,931.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.77 : 5,848.89 = 1,956.34 : x
  2. Step 2: Convert to fraction form
    3,902.77/5,848.89 = 1,956.34/x
  3. Step 3: Cross multiply
    3,902.77x = 5,848.89 × 1,956.34
  4. Step 4: Simplify right side
    3,902.77x = 11,442,417.46
  5. Step 5: Solve for x
    x = 11,442,417.46/3,902.77
  6. Step 6: Final answer
    x = 2,931.87

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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.