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Finding the Fourth Proportional to 19,663.76, 27,135 and 11,165.76

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Solution

The fourth proportional to 19,663.76, 27,135 and 11,165.76 is: 15,408.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,663.76 : 27,135 = 11,165.76 : x
  2. Step 2: Convert to fraction form
    19,663.76/27,135 = 11,165.76/x
  3. Step 3: Cross multiply
    19,663.76x = 27,135 × 11,165.76
  4. Step 4: Simplify right side
    19,663.76x = 302,982,897.60
  5. Step 5: Solve for x
    x = 302,982,897.60/19,663.76
  6. Step 6: Final answer
    x = 15,408.19

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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.