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Finding the Fourth Proportional to 5,251.66, 7,877.21 and 1,964.50

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Solution

The fourth proportional to 5,251.66, 7,877.21 and 1,964.50 is: 2,946.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,251.66 : 7,877.21 = 1,964.50 : x
  2. Step 2: Convert to fraction form
    5,251.66/7,877.21 = 1,964.50/x
  3. Step 3: Cross multiply
    5,251.66x = 7,877.21 × 1,964.50
  4. Step 4: Simplify right side
    5,251.66x = 15,474,807.65
  5. Step 5: Solve for x
    x = 15,474,807.65/5,251.66
  6. Step 6: Final answer
    x = 2,946.65

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Similar ratio
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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.