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Finding the Fourth Proportional to 3,881.63, 5,822.45 and 959.89

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Solution

The fourth proportional to 3,881.63, 5,822.45 and 959.89 is: 1,439.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.63 : 5,822.45 = 959.89 : x
  2. Step 2: Convert to fraction form
    3,881.63/5,822.45 = 959.89/x
  3. Step 3: Cross multiply
    3,881.63x = 5,822.45 × 959.89
  4. Step 4: Simplify right side
    3,881.63x = 5,588,911.53
  5. Step 5: Solve for x
    x = 5,588,911.53/3,881.63
  6. Step 6: Final answer
    x = 1,439.84

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1.5x scale

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.