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Finding the Fourth Proportional to 2,706.78, 4,084.19 and 2,605.50

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Solution

The fourth proportional to 2,706.78, 4,084.19 and 2,605.50 is: 3,931.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.78 : 4,084.19 = 2,605.50 : x
  2. Step 2: Convert to fraction form
    2,706.78/4,084.19 = 2,605.50/x
  3. Step 3: Cross multiply
    2,706.78x = 4,084.19 × 2,605.50
  4. Step 4: Simplify right side
    2,706.78x = 10,641,344.02
  5. Step 5: Solve for x
    x = 10,641,344.02/2,706.78
  6. Step 6: Final answer
    x = 3,931.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.