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Finding the Fourth Proportional to 1,980.17, 2,967.68 and 808.81

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Solution

The fourth proportional to 1,980.17, 2,967.68 and 808.81 is: 1,212.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.17 : 2,967.68 = 808.81 : x
  2. Step 2: Convert to fraction form
    1,980.17/2,967.68 = 808.81/x
  3. Step 3: Cross multiply
    1,980.17x = 2,967.68 × 808.81
  4. Step 4: Simplify right side
    1,980.17x = 2,400,270.38
  5. Step 5: Solve for x
    x = 2,400,270.38/1,980.17
  6. Step 6: Final answer
    x = 1,212.15

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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.