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Finding the Fourth Proportional to 2,077.65, 3,116.39 and 517.66

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Solution

The fourth proportional to 2,077.65, 3,116.39 and 517.66 is: 776.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.65 : 3,116.39 = 517.66 : x
  2. Step 2: Convert to fraction form
    2,077.65/3,116.39 = 517.66/x
  3. Step 3: Cross multiply
    2,077.65x = 3,116.39 × 517.66
  4. Step 4: Simplify right side
    2,077.65x = 1,613,220.07
  5. Step 5: Solve for x
    x = 1,613,220.07/2,077.65
  6. Step 6: Final answer
    x = 776.46

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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.