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Finding the Fourth Proportional to 9,784.97, 14,679.88 and 2,859.47

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Solution

The fourth proportional to 9,784.97, 14,679.88 and 2,859.47 is: 4,289.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,784.97 : 14,679.88 = 2,859.47 : x
  2. Step 2: Convert to fraction form
    9,784.97/14,679.88 = 2,859.47/x
  3. Step 3: Cross multiply
    9,784.97x = 14,679.88 × 2,859.47
  4. Step 4: Simplify right side
    9,784.97x = 41,976,667.05
  5. Step 5: Solve for x
    x = 41,976,667.05/9,784.97
  6. Step 6: Final answer
    x = 4,289.91

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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.