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Finding the Fourth Proportional to 20,009.25, 30,013.88 and 10,148.85

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Solution

The fourth proportional to 20,009.25, 30,013.88 and 10,148.85 is: 15,223.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,009.25 : 30,013.88 = 10,148.85 : x
  2. Step 2: Convert to fraction form
    20,009.25/30,013.88 = 10,148.85/x
  3. Step 3: Cross multiply
    20,009.25x = 30,013.88 × 10,148.85
  4. Step 4: Simplify right side
    20,009.25x = 304,606,315.29
  5. Step 5: Solve for x
    x = 304,606,315.29/20,009.25
  6. Step 6: Final answer
    x = 15,223.28

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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.