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Finding the Fourth Proportional to 39,897, 55,061.70 and 22,233

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Solution

The fourth proportional to 39,897, 55,061.70 and 22,233 is: 30,683.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,897 : 55,061.70 = 22,233 : x
  2. Step 2: Convert to fraction form
    39,897/55,061.70 = 22,233/x
  3. Step 3: Cross multiply
    39,897x = 55,061.70 × 22,233
  4. Step 4: Simplify right side
    39,897x = 1,224,186,776.10
  5. Step 5: Solve for x
    x = 1,224,186,776.10/39,897
  6. Step 6: Final answer
    x = 30,683.68

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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.