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Finding the Fourth Proportional to 3,154.70, 4,731.71 and 964.95

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Solution

The fourth proportional to 3,154.70, 4,731.71 and 964.95 is: 1,447.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154.70 : 4,731.71 = 964.95 : x
  2. Step 2: Convert to fraction form
    3,154.70/4,731.71 = 964.95/x
  3. Step 3: Cross multiply
    3,154.70x = 4,731.71 × 964.95
  4. Step 4: Simplify right side
    3,154.70x = 4,565,858.74
  5. Step 5: Solve for x
    x = 4,565,858.74/3,154.70
  6. Step 6: Final answer
    x = 1,447.32

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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.