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Finding the Fourth Proportional to 2,469.95, 3,706.74 and 1,988.81

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Solution

The fourth proportional to 2,469.95, 3,706.74 and 1,988.81 is: 2,984.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.95 : 3,706.74 = 1,988.81 : x
  2. Step 2: Convert to fraction form
    2,469.95/3,706.74 = 1,988.81/x
  3. Step 3: Cross multiply
    2,469.95x = 3,706.74 × 1,988.81
  4. Step 4: Simplify right side
    2,469.95x = 7,372,001.58
  5. Step 5: Solve for x
    x = 7,372,001.58/2,469.95
  6. Step 6: Final answer
    x = 2,984.68

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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.