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Finding the Fourth Proportional to 2,284.36, 3,426.16 and 745

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Solution

The fourth proportional to 2,284.36, 3,426.16 and 745 is: 1,117.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.36 : 3,426.16 = 745 : x
  2. Step 2: Convert to fraction form
    2,284.36/3,426.16 = 745/x
  3. Step 3: Cross multiply
    2,284.36x = 3,426.16 × 745
  4. Step 4: Simplify right side
    2,284.36x = 2,552,489.20
  5. Step 5: Solve for x
    x = 2,552,489.20/2,284.36
  6. Step 6: Final answer
    x = 1,117.38

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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.