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Finding the Fourth Proportional to 15,205.76, 20,983.72 and 8,491.50

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Solution

The fourth proportional to 15,205.76, 20,983.72 and 8,491.50 is: 11,718.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,205.76 : 20,983.72 = 8,491.50 : x
  2. Step 2: Convert to fraction form
    15,205.76/20,983.72 = 8,491.50/x
  3. Step 3: Cross multiply
    15,205.76x = 20,983.72 × 8,491.50
  4. Step 4: Simplify right side
    15,205.76x = 178,183,258.38
  5. Step 5: Solve for x
    x = 178,183,258.38/15,205.76
  6. Step 6: Final answer
    x = 11,718.14

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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.