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Finding the Fourth Proportional to 2,967.78, 4,451.24 and 776.66

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Solution

The fourth proportional to 2,967.78, 4,451.24 and 776.66 is: 1,164.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.78 : 4,451.24 = 776.66 : x
  2. Step 2: Convert to fraction form
    2,967.78/4,451.24 = 776.66/x
  3. Step 3: Cross multiply
    2,967.78x = 4,451.24 × 776.66
  4. Step 4: Simplify right side
    2,967.78x = 3,457,100.06
  5. Step 5: Solve for x
    x = 3,457,100.06/2,967.78
  6. Step 6: Final answer
    x = 1,164.88

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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.