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Finding the Fourth Proportional to 9,853.92, 13,578.84 and 9,731.28

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Solution

The fourth proportional to 9,853.92, 13,578.84 and 9,731.28 is: 13,409.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,853.92 : 13,578.84 = 9,731.28 : x
  2. Step 2: Convert to fraction form
    9,853.92/13,578.84 = 9,731.28/x
  3. Step 3: Cross multiply
    9,853.92x = 13,578.84 × 9,731.28
  4. Step 4: Simplify right side
    9,853.92x = 132,139,494.12
  5. Step 5: Solve for x
    x = 132,139,494.12/9,853.92
  6. Step 6: Final answer
    x = 13,409.84

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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.