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Finding the Fourth Proportional to 15,201.15, 20,977.74 and 8,828.16

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Solution

The fourth proportional to 15,201.15, 20,977.74 and 8,828.16 is: 12,182.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,201.15 : 20,977.74 = 8,828.16 : x
  2. Step 2: Convert to fraction form
    15,201.15/20,977.74 = 8,828.16/x
  3. Step 3: Cross multiply
    15,201.15x = 20,977.74 × 8,828.16
  4. Step 4: Simplify right side
    15,201.15x = 185,194,845.16
  5. Step 5: Solve for x
    x = 185,194,845.16/15,201.15
  6. Step 6: Final answer
    x = 12,182.95

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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.