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Finding the Fourth Proportional to 15,209.70, 20,989.86 and 8,835.78

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Solution

The fourth proportional to 15,209.70, 20,989.86 and 8,835.78 is: 12,193.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,209.70 : 20,989.86 = 8,835.78 : x
  2. Step 2: Convert to fraction form
    15,209.70/20,989.86 = 8,835.78/x
  3. Step 3: Cross multiply
    15,209.70x = 20,989.86 × 8,835.78
  4. Step 4: Simplify right side
    15,209.70x = 185,461,785.19
  5. Step 5: Solve for x
    x = 185,461,785.19/15,209.70
  6. Step 6: Final answer
    x = 12,193.65

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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.