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Finding the Fourth Proportional to 3,878.16, 5,817.20 and 956.48

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Solution

The fourth proportional to 3,878.16, 5,817.20 and 956.48 is: 1,434.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.16 : 5,817.20 = 956.48 : x
  2. Step 2: Convert to fraction form
    3,878.16/5,817.20 = 956.48/x
  3. Step 3: Cross multiply
    3,878.16x = 5,817.20 × 956.48
  4. Step 4: Simplify right side
    3,878.16x = 5,564,001.59
  5. Step 5: Solve for x
    x = 5,564,001.59/3,878.16
  6. Step 6: Final answer
    x = 1,434.70

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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.