Home / 2,281.81-3,412.99-1,402.15

Finding the Fourth Proportional to 2,281.81, 3,412.99 and 1,402.15

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Solution

The fourth proportional to 2,281.81, 3,412.99 and 1,402.15 is: 2,097.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.81 : 3,412.99 = 1,402.15 : x
  2. Step 2: Convert to fraction form
    2,281.81/3,412.99 = 1,402.15/x
  3. Step 3: Cross multiply
    2,281.81x = 3,412.99 × 1,402.15
  4. Step 4: Simplify right side
    2,281.81x = 4,785,523.93
  5. Step 5: Solve for x
    x = 4,785,523.93/2,281.81
  6. Step 6: Final answer
    x = 2,097.25

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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.