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Finding the Fourth Proportional to 15,876.78, 21,904.97 and 9,161.53

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Solution

The fourth proportional to 15,876.78, 21,904.97 and 9,161.53 is: 12,640.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,876.78 : 21,904.97 = 9,161.53 : x
  2. Step 2: Convert to fraction form
    15,876.78/21,904.97 = 9,161.53/x
  3. Step 3: Cross multiply
    15,876.78x = 21,904.97 × 9,161.53
  4. Step 4: Simplify right side
    15,876.78x = 200,683,007.95
  5. Step 5: Solve for x
    x = 200,683,007.95/15,876.78
  6. Step 6: Final answer
    x = 12,640.03

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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.