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Finding the Fourth Proportional to 5,146.64, 7,719.95 and 1,859.73

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Solution

The fourth proportional to 5,146.64, 7,719.95 and 1,859.73 is: 2,789.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,146.64 : 7,719.95 = 1,859.73 : x
  2. Step 2: Convert to fraction form
    5,146.64/7,719.95 = 1,859.73/x
  3. Step 3: Cross multiply
    5,146.64x = 7,719.95 × 1,859.73
  4. Step 4: Simplify right side
    5,146.64x = 14,357,013.31
  5. Step 5: Solve for x
    x = 14,357,013.31/5,146.64
  6. Step 6: Final answer
    x = 2,789.59

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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.