Home / 10,209.64-15,314.78-2,814.04

Finding the Fourth Proportional to 10,209.64, 15,314.78 and 2,814.04

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Solution

The fourth proportional to 10,209.64, 15,314.78 and 2,814.04 is: 4,221.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,209.64 : 15,314.78 = 2,814.04 : x
  2. Step 2: Convert to fraction form
    10,209.64/15,314.78 = 2,814.04/x
  3. Step 3: Cross multiply
    10,209.64x = 15,314.78 × 2,814.04
  4. Step 4: Simplify right side
    10,209.64x = 43,096,403.51
  5. Step 5: Solve for x
    x = 43,096,403.51/10,209.64
  6. Step 6: Final answer
    x = 4,221.15

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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.