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Finding the Fourth Proportional to 15,025.61, 20,734.63 and 8,219.48

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Solution

The fourth proportional to 15,025.61, 20,734.63 and 8,219.48 is: 11,342.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,025.61 : 20,734.63 = 8,219.48 : x
  2. Step 2: Convert to fraction form
    15,025.61/20,734.63 = 8,219.48/x
  3. Step 3: Cross multiply
    15,025.61x = 20,734.63 × 8,219.48
  4. Step 4: Simplify right side
    15,025.61x = 170,427,830.13
  5. Step 5: Solve for x
    x = 170,427,830.13/15,025.61
  6. Step 6: Final answer
    x = 11,342.49

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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.