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Finding the Fourth Proportional to 27,551.76, 38,021.58 and 16,221.75

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Solution

The fourth proportional to 27,551.76, 38,021.58 and 16,221.75 is: 22,386.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,551.76 : 38,021.58 = 16,221.75 : x
  2. Step 2: Convert to fraction form
    27,551.76/38,021.58 = 16,221.75/x
  3. Step 3: Cross multiply
    27,551.76x = 38,021.58 × 16,221.75
  4. Step 4: Simplify right side
    27,551.76x = 616,776,565.37
  5. Step 5: Solve for x
    x = 616,776,565.37/27,551.76
  6. Step 6: Final answer
    x = 22,386.10

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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.