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Finding the Fourth Proportional to 7,074.51, 9,761.16 and 4,089.79

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Solution

The fourth proportional to 7,074.51, 9,761.16 and 4,089.79 is: 5,642.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,074.51 : 9,761.16 = 4,089.79 : x
  2. Step 2: Convert to fraction form
    7,074.51/9,761.16 = 4,089.79/x
  3. Step 3: Cross multiply
    7,074.51x = 9,761.16 × 4,089.79
  4. Step 4: Simplify right side
    7,074.51x = 39,921,094.56
  5. Step 5: Solve for x
    x = 39,921,094.56/7,074.51
  6. Step 6: Final answer
    x = 5,642.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.