Home / 10,219.86-15,329.63-2,824.16

Finding the Fourth Proportional to 10,219.86, 15,329.63 and 2,824.16

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Solution

The fourth proportional to 10,219.86, 15,329.63 and 2,824.16 is: 4,236.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,219.86 : 15,329.63 = 2,824.16 : x
  2. Step 2: Convert to fraction form
    10,219.86/15,329.63 = 2,824.16/x
  3. Step 3: Cross multiply
    10,219.86x = 15,329.63 × 2,824.16
  4. Step 4: Simplify right side
    10,219.86x = 43,293,251.21
  5. Step 5: Solve for x
    x = 43,293,251.21/10,219.86
  6. Step 6: Final answer
    x = 4,236.19

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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.