Home / 10,199.78-15,299.84-2,804.20

Finding the Fourth Proportional to 10,199.78, 15,299.84 and 2,804.20

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Solution

The fourth proportional to 10,199.78, 15,299.84 and 2,804.20 is: 4,206.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,199.78 : 15,299.84 = 2,804.20 : x
  2. Step 2: Convert to fraction form
    10,199.78/15,299.84 = 2,804.20/x
  3. Step 3: Cross multiply
    10,199.78x = 15,299.84 × 2,804.20
  4. Step 4: Simplify right side
    10,199.78x = 42,903,734.83
  5. Step 5: Solve for x
    x = 42,903,734.83/10,199.78
  6. Step 6: Final answer
    x = 4,206.34

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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.