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Finding the Fourth Proportional to 19,807.50, 27,334.35 and 11,424

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Solution

The fourth proportional to 19,807.50, 27,334.35 and 11,424 is: 15,765.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,807.50 : 27,334.35 = 11,424 : x
  2. Step 2: Convert to fraction form
    19,807.50/27,334.35 = 11,424/x
  3. Step 3: Cross multiply
    19,807.50x = 27,334.35 × 11,424
  4. Step 4: Simplify right side
    19,807.50x = 312,267,614.40
  5. Step 5: Solve for x
    x = 312,267,614.40/19,807.50
  6. Step 6: Final answer
    x = 15,765.12

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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.