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Finding the Fourth Proportional to 10,969.94, 15,128.94 and 7,776.92

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Solution

The fourth proportional to 10,969.94, 15,128.94 and 7,776.92 is: 10,725.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,969.94 : 15,128.94 = 7,776.92 : x
  2. Step 2: Convert to fraction form
    10,969.94/15,128.94 = 7,776.92/x
  3. Step 3: Cross multiply
    10,969.94x = 15,128.94 × 7,776.92
  4. Step 4: Simplify right side
    10,969.94x = 117,656,556.06
  5. Step 5: Solve for x
    x = 117,656,556.06/10,969.94
  6. Step 6: Final answer
    x = 10,725.36

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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.