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Finding the Fourth Proportional to 9,687.97, 14,529.12 and 4,420

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Solution

The fourth proportional to 9,687.97, 14,529.12 and 4,420 is: 6,628.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,687.97 : 14,529.12 = 4,420 : x
  2. Step 2: Convert to fraction form
    9,687.97/14,529.12 = 4,420/x
  3. Step 3: Cross multiply
    9,687.97x = 14,529.12 × 4,420
  4. Step 4: Simplify right side
    9,687.97x = 64,218,710.40
  5. Step 5: Solve for x
    x = 64,218,710.40/9,687.97
  6. Step 6: Final answer
    x = 6,628.71

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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.