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Finding the Fourth Proportional to 15,120.16, 20,865.78 and 8,405.58

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Solution

The fourth proportional to 15,120.16, 20,865.78 and 8,405.58 is: 11,599.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,120.16 : 20,865.78 = 8,405.58 : x
  2. Step 2: Convert to fraction form
    15,120.16/20,865.78 = 8,405.58/x
  3. Step 3: Cross multiply
    15,120.16x = 20,865.78 × 8,405.58
  4. Step 4: Simplify right side
    15,120.16x = 175,388,983.05
  5. Step 5: Solve for x
    x = 175,388,983.05/15,120.16
  6. Step 6: Final answer
    x = 11,599.68

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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.