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Finding the Fourth Proportional to 19,780, 27,296.40 and 11,401.36

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Solution

The fourth proportional to 19,780, 27,296.40 and 11,401.36 is: 15,733.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,780 : 27,296.40 = 11,401.36 : x
  2. Step 2: Convert to fraction form
    19,780/27,296.40 = 11,401.36/x
  3. Step 3: Cross multiply
    19,780x = 27,296.40 × 11,401.36
  4. Step 4: Simplify right side
    19,780x = 311,216,083.10
  5. Step 5: Solve for x
    x = 311,216,083.10/19,780
  6. Step 6: Final answer
    x = 15,733.88

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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.