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Finding the Fourth Proportional to 10,199.80, 15,298.80 and 2,803.60

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Solution

The fourth proportional to 10,199.80, 15,298.80 and 2,803.60 is: 4,205.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,199.80 : 15,298.80 = 2,803.60 : x
  2. Step 2: Convert to fraction form
    10,199.80/15,298.80 = 2,803.60/x
  3. Step 3: Cross multiply
    10,199.80x = 15,298.80 × 2,803.60
  4. Step 4: Simplify right side
    10,199.80x = 42,891,715.68
  5. Step 5: Solve for x
    x = 42,891,715.68/10,199.80
  6. Step 6: Final answer
    x = 4,205.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.