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Finding the Fourth Proportional to 7,869.04, 11,797.78 and 3,706.70

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Solution

The fourth proportional to 7,869.04, 11,797.78 and 3,706.70 is: 5,557.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,869.04 : 11,797.78 = 3,706.70 : x
  2. Step 2: Convert to fraction form
    7,869.04/11,797.78 = 3,706.70/x
  3. Step 3: Cross multiply
    7,869.04x = 11,797.78 × 3,706.70
  4. Step 4: Simplify right side
    7,869.04x = 43,730,851.35
  5. Step 5: Solve for x
    x = 43,730,851.35/7,869.04
  6. Step 6: Final answer
    x = 5,557.33

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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.