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Finding the Fourth Proportional to 7,867.02, 11,802.22 and 3,186.98

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Solution

The fourth proportional to 7,867.02, 11,802.22 and 3,186.98 is: 4,781.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,867.02 : 11,802.22 = 3,186.98 : x
  2. Step 2: Convert to fraction form
    7,867.02/11,802.22 = 3,186.98/x
  3. Step 3: Cross multiply
    7,867.02x = 11,802.22 × 3,186.98
  4. Step 4: Simplify right side
    7,867.02x = 37,613,439.10
  5. Step 5: Solve for x
    x = 37,613,439.10/7,867.02
  6. Step 6: Final answer
    x = 4,781.15

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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.