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Finding the Fourth Proportional to 9,561.72, 13,159.22 and 8,089

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Solution

The fourth proportional to 9,561.72, 13,159.22 and 8,089 is: 11,132.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,561.72 : 13,159.22 = 8,089 : x
  2. Step 2: Convert to fraction form
    9,561.72/13,159.22 = 8,089/x
  3. Step 3: Cross multiply
    9,561.72x = 13,159.22 × 8,089
  4. Step 4: Simplify right side
    9,561.72x = 106,444,930.58
  5. Step 5: Solve for x
    x = 106,444,930.58/9,561.72
  6. Step 6: Final answer
    x = 11,132.40

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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.