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Finding the Fourth Proportional to 2,284.79, 3,429.11 and 2,140.79

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Solution

The fourth proportional to 2,284.79, 3,429.11 and 2,140.79 is: 3,212.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.79 : 3,429.11 = 2,140.79 : x
  2. Step 2: Convert to fraction form
    2,284.79/3,429.11 = 2,140.79/x
  3. Step 3: Cross multiply
    2,284.79x = 3,429.11 × 2,140.79
  4. Step 4: Simplify right side
    2,284.79x = 7,341,004.40
  5. Step 5: Solve for x
    x = 7,341,004.40/2,284.79
  6. Step 6: Final answer
    x = 3,212.99

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1.5x scale

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.