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Finding the Fourth Proportional to 15,094.38, 20,828.01 and 8,380.06

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Solution

The fourth proportional to 15,094.38, 20,828.01 and 8,380.06 is: 11,563.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,094.38 : 20,828.01 = 8,380.06 : x
  2. Step 2: Convert to fraction form
    15,094.38/20,828.01 = 8,380.06/x
  3. Step 3: Cross multiply
    15,094.38x = 20,828.01 × 8,380.06
  4. Step 4: Simplify right side
    15,094.38x = 174,539,929.27
  5. Step 5: Solve for x
    x = 174,539,929.27/15,094.38
  6. Step 6: Final answer
    x = 11,563.24

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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.