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Finding the Fourth Proportional to 15,219, 22,760.04 and 11,661.96

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Solution

The fourth proportional to 15,219, 22,760.04 and 11,661.96 is: 17,440.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,219 : 22,760.04 = 11,661.96 : x
  2. Step 2: Convert to fraction form
    15,219/22,760.04 = 11,661.96/x
  3. Step 3: Cross multiply
    15,219x = 22,760.04 × 11,661.96
  4. Step 4: Simplify right side
    15,219x = 265,426,676.08
  5. Step 5: Solve for x
    x = 265,426,676.08/15,219
  6. Step 6: Final answer
    x = 17,440.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.