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Finding the Fourth Proportional to 15,874.86, 21,912.81 and 9,829.74

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Solution

The fourth proportional to 15,874.86, 21,912.81 and 9,829.74 is: 13,568.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,874.86 : 21,912.81 = 9,829.74 : x
  2. Step 2: Convert to fraction form
    15,874.86/21,912.81 = 9,829.74/x
  3. Step 3: Cross multiply
    15,874.86x = 21,912.81 × 9,829.74
  4. Step 4: Simplify right side
    15,874.86x = 215,397,224.97
  5. Step 5: Solve for x
    x = 215,397,224.97/15,874.86
  6. Step 6: Final answer
    x = 13,568.45

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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.