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Finding the Fourth Proportional to 9,855.84, 13,601 and 5,606.89

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Solution

The fourth proportional to 9,855.84, 13,601 and 5,606.89 is: 7,737.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,855.84 : 13,601 = 5,606.89 : x
  2. Step 2: Convert to fraction form
    9,855.84/13,601 = 5,606.89/x
  3. Step 3: Cross multiply
    9,855.84x = 13,601 × 5,606.89
  4. Step 4: Simplify right side
    9,855.84x = 76,259,310.89
  5. Step 5: Solve for x
    x = 76,259,310.89/9,855.84
  6. Step 6: Final answer
    x = 7,737.47

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1.5x scale

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.