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Finding the Fourth Proportional to 10,969.92, 15,137.28 and 9,786.24

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Solution

The fourth proportional to 10,969.92, 15,137.28 and 9,786.24 is: 13,503.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,969.92 : 15,137.28 = 9,786.24 : x
  2. Step 2: Convert to fraction form
    10,969.92/15,137.28 = 9,786.24/x
  3. Step 3: Cross multiply
    10,969.92x = 15,137.28 × 9,786.24
  4. Step 4: Simplify right side
    10,969.92x = 148,137,055.03
  5. Step 5: Solve for x
    x = 148,137,055.03/10,969.92
  6. Step 6: Final answer
    x = 13,503.93

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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.