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Finding the Fourth Proportional to 11,504, 15,866.88 and 7,973.12

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Solution

The fourth proportional to 11,504, 15,866.88 and 7,973.12 is: 10,996.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,504 : 15,866.88 = 7,973.12 : x
  2. Step 2: Convert to fraction form
    11,504/15,866.88 = 7,973.12/x
  3. Step 3: Cross multiply
    11,504x = 15,866.88 × 7,973.12
  4. Step 4: Simplify right side
    11,504x = 126,508,538.27
  5. Step 5: Solve for x
    x = 126,508,538.27/11,504
  6. Step 6: Final answer
    x = 10,996.92

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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.