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Finding the Fourth Proportional to 9,663.76, 13,334.16 and 9,171.64

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Solution

The fourth proportional to 9,663.76, 13,334.16 and 9,171.64 is: 12,655.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,663.76 : 13,334.16 = 9,171.64 : x
  2. Step 2: Convert to fraction form
    9,663.76/13,334.16 = 9,171.64/x
  3. Step 3: Cross multiply
    9,663.76x = 13,334.16 × 9,171.64
  4. Step 4: Simplify right side
    9,663.76x = 122,296,115.22
  5. Step 5: Solve for x
    x = 122,296,115.22/9,663.76
  6. Step 6: Final answer
    x = 12,655.13

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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.