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Finding the Fourth Proportional to 5,136.50, 7,706.40 and 2,058.50

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Solution

The fourth proportional to 5,136.50, 7,706.40 and 2,058.50 is: 3,088.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,136.50 : 7,706.40 = 2,058.50 : x
  2. Step 2: Convert to fraction form
    5,136.50/7,706.40 = 2,058.50/x
  3. Step 3: Cross multiply
    5,136.50x = 7,706.40 × 2,058.50
  4. Step 4: Simplify right side
    5,136.50x = 15,863,624.40
  5. Step 5: Solve for x
    x = 15,863,624.40/5,136.50
  6. Step 6: Final answer
    x = 3,088.41

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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.