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Finding the Fourth Proportional to 9,530.96, 13,122.84 and 8,656.16

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Solution

The fourth proportional to 9,530.96, 13,122.84 and 8,656.16 is: 11,918.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,530.96 : 13,122.84 = 8,656.16 : x
  2. Step 2: Convert to fraction form
    9,530.96/13,122.84 = 8,656.16/x
  3. Step 3: Cross multiply
    9,530.96x = 13,122.84 × 8,656.16
  4. Step 4: Simplify right side
    9,530.96x = 113,593,402.69
  5. Step 5: Solve for x
    x = 113,593,402.69/9,530.96
  6. Step 6: Final answer
    x = 11,918.36

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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.