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Finding the Fourth Proportional to 9,721.80, 14,589.80 and 3,880.08

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Solution

The fourth proportional to 9,721.80, 14,589.80 and 3,880.08 is: 5,822.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,721.80 : 14,589.80 = 3,880.08 : x
  2. Step 2: Convert to fraction form
    9,721.80/14,589.80 = 3,880.08/x
  3. Step 3: Cross multiply
    9,721.80x = 14,589.80 × 3,880.08
  4. Step 4: Simplify right side
    9,721.80x = 56,609,591.18
  5. Step 5: Solve for x
    x = 56,609,591.18/9,721.80
  6. Step 6: Final answer
    x = 5,822.95

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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.