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Finding the Fourth Proportional to 13,152.78, 19,712.16 and 9,839.88

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Solution

The fourth proportional to 13,152.78, 19,712.16 and 9,839.88 is: 14,747.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,152.78 : 19,712.16 = 9,839.88 : x
  2. Step 2: Convert to fraction form
    13,152.78/19,712.16 = 9,839.88/x
  3. Step 3: Cross multiply
    13,152.78x = 19,712.16 × 9,839.88
  4. Step 4: Simplify right side
    13,152.78x = 193,965,288.94
  5. Step 5: Solve for x
    x = 193,965,288.94/13,152.78
  6. Step 6: Final answer
    x = 14,747.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.