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Finding the Fourth Proportional to 9,157.71, 13,736.56 and 8,690.24

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Solution

The fourth proportional to 9,157.71, 13,736.56 and 8,690.24 is: 13,035.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,157.71 : 13,736.56 = 8,690.24 : x
  2. Step 2: Convert to fraction form
    9,157.71/13,736.56 = 8,690.24/x
  3. Step 3: Cross multiply
    9,157.71x = 13,736.56 × 8,690.24
  4. Step 4: Simplify right side
    9,157.71x = 119,374,003.17
  5. Step 5: Solve for x
    x = 119,374,003.17/9,157.71
  6. Step 6: Final answer
    x = 13,035.36

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1.5x scale

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.