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Finding the Fourth Proportional to 7,086.04, 9,780.42 and 4,291

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Solution

The fourth proportional to 7,086.04, 9,780.42 and 4,291 is: 5,922.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,086.04 : 9,780.42 = 4,291 : x
  2. Step 2: Convert to fraction form
    7,086.04/9,780.42 = 4,291/x
  3. Step 3: Cross multiply
    7,086.04x = 9,780.42 × 4,291
  4. Step 4: Simplify right side
    7,086.04x = 41,967,782.22
  5. Step 5: Solve for x
    x = 41,967,782.22/7,086.04
  6. Step 6: Final answer
    x = 5,922.60

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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.