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Finding the Fourth Proportional to 5,160.14, 7,742.37 and 4,751.66

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Solution

The fourth proportional to 5,160.14, 7,742.37 and 4,751.66 is: 7,129.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,160.14 : 7,742.37 = 4,751.66 : x
  2. Step 2: Convert to fraction form
    5,160.14/7,742.37 = 4,751.66/x
  3. Step 3: Cross multiply
    5,160.14x = 7,742.37 × 4,751.66
  4. Step 4: Simplify right side
    5,160.14x = 36,789,109.83
  5. Step 5: Solve for x
    x = 36,789,109.83/5,160.14
  6. Step 6: Final answer
    x = 7,129.48

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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.