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Finding the Fourth Proportional to 9,960.68, 13,743.24 and 6,419.63

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Solution

The fourth proportional to 9,960.68, 13,743.24 and 6,419.63 is: 8,857.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,960.68 : 13,743.24 = 6,419.63 : x
  2. Step 2: Convert to fraction form
    9,960.68/13,743.24 = 6,419.63/x
  3. Step 3: Cross multiply
    9,960.68x = 13,743.24 × 6,419.63
  4. Step 4: Simplify right side
    9,960.68x = 88,226,447.09
  5. Step 5: Solve for x
    x = 88,226,447.09/9,960.68
  6. Step 6: Final answer
    x = 8,857.48

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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.