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Finding the Fourth Proportional to 19,425.78, 29,084.41 and 10,509.22

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Solution

The fourth proportional to 19,425.78, 29,084.41 and 10,509.22 is: 15,734.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,425.78 : 29,084.41 = 10,509.22 : x
  2. Step 2: Convert to fraction form
    19,425.78/29,084.41 = 10,509.22/x
  3. Step 3: Cross multiply
    19,425.78x = 29,084.41 × 10,509.22
  4. Step 4: Simplify right side
    19,425.78x = 305,654,463.26
  5. Step 5: Solve for x
    x = 305,654,463.26/19,425.78
  6. Step 6: Final answer
    x = 15,734.48

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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.