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Finding the Fourth Proportional to 5,704.79, 7,872.53 and 3,186.95

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Solution

The fourth proportional to 5,704.79, 7,872.53 and 3,186.95 is: 4,397.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,704.79 : 7,872.53 = 3,186.95 : x
  2. Step 2: Convert to fraction form
    5,704.79/7,872.53 = 3,186.95/x
  3. Step 3: Cross multiply
    5,704.79x = 7,872.53 × 3,186.95
  4. Step 4: Simplify right side
    5,704.79x = 25,089,304.19
  5. Step 5: Solve for x
    x = 25,089,304.19/5,704.79
  6. Step 6: Final answer
    x = 4,397.94

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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.