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Finding the Fourth Proportional to 5,708.95, 7,878.40 and 3,191.20

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Solution

The fourth proportional to 5,708.95, 7,878.40 and 3,191.20 is: 4,403.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,708.95 : 7,878.40 = 3,191.20 : x
  2. Step 2: Convert to fraction form
    5,708.95/7,878.40 = 3,191.20/x
  3. Step 3: Cross multiply
    5,708.95x = 7,878.40 × 3,191.20
  4. Step 4: Simplify right side
    5,708.95x = 25,141,522.41
  5. Step 5: Solve for x
    x = 25,141,522.41/5,708.95
  6. Step 6: Final answer
    x = 4,403.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.