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Finding the Fourth Proportional to 9,134.77, 13,703.59 and 3,869.80

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Solution

The fourth proportional to 9,134.77, 13,703.59 and 3,869.80 is: 5,805.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,134.77 : 13,703.59 = 3,869.80 : x
  2. Step 2: Convert to fraction form
    9,134.77/13,703.59 = 3,869.80/x
  3. Step 3: Cross multiply
    9,134.77x = 13,703.59 × 3,869.80
  4. Step 4: Simplify right side
    9,134.77x = 53,030,084.06
  5. Step 5: Solve for x
    x = 53,030,084.06/9,134.77
  6. Step 6: Final answer
    x = 5,805.30

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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.