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Finding the Fourth Proportional to 5,136.78, 7,706.13 and 2,059.02

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Solution

The fourth proportional to 5,136.78, 7,706.13 and 2,059.02 is: 3,088.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,136.78 : 7,706.13 = 2,059.02 : x
  2. Step 2: Convert to fraction form
    5,136.78/7,706.13 = 2,059.02/x
  3. Step 3: Cross multiply
    5,136.78x = 7,706.13 × 2,059.02
  4. Step 4: Simplify right side
    5,136.78x = 15,867,075.79
  5. Step 5: Solve for x
    x = 15,867,075.79/5,136.78
  6. Step 6: Final answer
    x = 3,088.91

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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.