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Finding the Fourth Proportional to 12,969.52, 17,901.14 and 7,383.76

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Solution

The fourth proportional to 12,969.52, 17,901.14 and 7,383.76 is: 10,191.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,969.52 : 17,901.14 = 7,383.76 : x
  2. Step 2: Convert to fraction form
    12,969.52/17,901.14 = 7,383.76/x
  3. Step 3: Cross multiply
    12,969.52x = 17,901.14 × 7,383.76
  4. Step 4: Simplify right side
    12,969.52x = 132,177,721.49
  5. Step 5: Solve for x
    x = 132,177,721.49/12,969.52
  6. Step 6: Final answer
    x = 10,191.41

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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.