Home / 2,971.78-4,457.24-780.66

Finding the Fourth Proportional to 2,971.78, 4,457.24 and 780.66

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Solution

The fourth proportional to 2,971.78, 4,457.24 and 780.66 is: 1,170.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.78 : 4,457.24 = 780.66 : x
  2. Step 2: Convert to fraction form
    2,971.78/4,457.24 = 780.66/x
  3. Step 3: Cross multiply
    2,971.78x = 4,457.24 × 780.66
  4. Step 4: Simplify right side
    2,971.78x = 3,479,588.98
  5. Step 5: Solve for x
    x = 3,479,588.98/2,971.78
  6. Step 6: Final answer
    x = 1,170.88

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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.