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Finding the Fourth Proportional to 10,187.74, 15,276.15 and 3,164.74

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Solution

The fourth proportional to 10,187.74, 15,276.15 and 3,164.74 is: 4,745.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,187.74 : 15,276.15 = 3,164.74 : x
  2. Step 2: Convert to fraction form
    10,187.74/15,276.15 = 3,164.74/x
  3. Step 3: Cross multiply
    10,187.74x = 15,276.15 × 3,164.74
  4. Step 4: Simplify right side
    10,187.74x = 48,345,042.95
  5. Step 5: Solve for x
    x = 48,345,042.95/10,187.74
  6. Step 6: Final answer
    x = 4,745.41

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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.