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Finding the Fourth Proportional to 15,106.78, 20,843.04 and 9,134.12

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Solution

The fourth proportional to 15,106.78, 20,843.04 and 9,134.12 is: 12,602.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,106.78 : 20,843.04 = 9,134.12 : x
  2. Step 2: Convert to fraction form
    15,106.78/20,843.04 = 9,134.12/x
  3. Step 3: Cross multiply
    15,106.78x = 20,843.04 × 9,134.12
  4. Step 4: Simplify right side
    15,106.78x = 190,382,828.52
  5. Step 5: Solve for x
    x = 190,382,828.52/15,106.78
  6. Step 6: Final answer
    x = 12,602.48

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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.