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Finding the Fourth Proportional to 5,142, 7,713.36 and 2,064

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Solution

The fourth proportional to 5,142, 7,713.36 and 2,064 is: 3,096.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,142 : 7,713.36 = 2,064 : x
  2. Step 2: Convert to fraction form
    5,142/7,713.36 = 2,064/x
  3. Step 3: Cross multiply
    5,142x = 7,713.36 × 2,064
  4. Step 4: Simplify right side
    5,142x = 15,920,375.04
  5. Step 5: Solve for x
    x = 15,920,375.04/5,142
  6. Step 6: Final answer
    x = 3,096.14

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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.