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Finding the Fourth Proportional to 9,891.58, 13,647.67 and 5,641.09

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Solution

The fourth proportional to 9,891.58, 13,647.67 and 5,641.09 is: 7,783.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,891.58 : 13,647.67 = 5,641.09 : x
  2. Step 2: Convert to fraction form
    9,891.58/13,647.67 = 5,641.09/x
  3. Step 3: Cross multiply
    9,891.58x = 13,647.67 × 5,641.09
  4. Step 4: Simplify right side
    9,891.58x = 76,987,758.87
  5. Step 5: Solve for x
    x = 76,987,758.87/9,891.58
  6. Step 6: Final answer
    x = 7,783.16

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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.