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Finding the Fourth Proportional to 5,197.32, 7,799.06 and 1,912.72

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Solution

The fourth proportional to 5,197.32, 7,799.06 and 1,912.72 is: 2,870.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.32 : 7,799.06 = 1,912.72 : x
  2. Step 2: Convert to fraction form
    5,197.32/7,799.06 = 1,912.72/x
  3. Step 3: Cross multiply
    5,197.32x = 7,799.06 × 1,912.72
  4. Step 4: Simplify right side
    5,197.32x = 14,917,407.19
  5. Step 5: Solve for x
    x = 14,917,407.19/5,197.32
  6. Step 6: Final answer
    x = 2,870.21

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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.