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Finding the Fourth Proportional to 7,867.80, 11,805.30 and 3,706.20

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Solution

The fourth proportional to 7,867.80, 11,805.30 and 3,706.20 is: 5,561.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,867.80 : 11,805.30 = 3,706.20 : x
  2. Step 2: Convert to fraction form
    7,867.80/11,805.30 = 3,706.20/x
  3. Step 3: Cross multiply
    7,867.80x = 11,805.30 × 3,706.20
  4. Step 4: Simplify right side
    7,867.80x = 43,752,802.86
  5. Step 5: Solve for x
    x = 43,752,802.86/7,867.80
  6. Step 6: Final answer
    x = 5,561.00

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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.