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Finding the Fourth Proportional to 12,908.28, 17,823.46 and 9,919.40

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Solution

The fourth proportional to 12,908.28, 17,823.46 and 9,919.40 is: 13,696.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,908.28 : 17,823.46 = 9,919.40 : x
  2. Step 2: Convert to fraction form
    12,908.28/17,823.46 = 9,919.40/x
  3. Step 3: Cross multiply
    12,908.28x = 17,823.46 × 9,919.40
  4. Step 4: Simplify right side
    12,908.28x = 176,798,029.12
  5. Step 5: Solve for x
    x = 176,798,029.12/12,908.28
  6. Step 6: Final answer
    x = 13,696.48

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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.