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Finding the Fourth Proportional to 19,643.50, 27,108.03 and 11,264.86

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Solution

The fourth proportional to 19,643.50, 27,108.03 and 11,264.86 is: 15,545.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,643.50 : 27,108.03 = 11,264.86 : x
  2. Step 2: Convert to fraction form
    19,643.50/27,108.03 = 11,264.86/x
  3. Step 3: Cross multiply
    19,643.50x = 27,108.03 × 11,264.86
  4. Step 4: Simplify right side
    19,643.50x = 305,368,162.83
  5. Step 5: Solve for x
    x = 305,368,162.83/19,643.50
  6. Step 6: Final answer
    x = 15,545.51

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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.