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Finding the Fourth Proportional to 5,079, 7,615.74 and 2,741.78

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Solution

The fourth proportional to 5,079, 7,615.74 and 2,741.78 is: 4,111.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,079 : 7,615.74 = 2,741.78 : x
  2. Step 2: Convert to fraction form
    5,079/7,615.74 = 2,741.78/x
  3. Step 3: Cross multiply
    5,079x = 7,615.74 × 2,741.78
  4. Step 4: Simplify right side
    5,079x = 20,880,683.62
  5. Step 5: Solve for x
    x = 20,880,683.62/5,079
  6. Step 6: Final answer
    x = 4,111.18

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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.