Home / 2,971.67-4,457.15-780.57

Finding the Fourth Proportional to 2,971.67, 4,457.15 and 780.57

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Solution

The fourth proportional to 2,971.67, 4,457.15 and 780.57 is: 1,170.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.67 : 4,457.15 = 780.57 : x
  2. Step 2: Convert to fraction form
    2,971.67/4,457.15 = 780.57/x
  3. Step 3: Cross multiply
    2,971.67x = 4,457.15 × 780.57
  4. Step 4: Simplify right side
    2,971.67x = 3,479,117.58
  5. Step 5: Solve for x
    x = 3,479,117.58/2,971.67
  6. Step 6: Final answer
    x = 1,170.76

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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.