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Finding the Fourth Proportional to 2,332, 3,218.36 and 1,284.27

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Solution

The fourth proportional to 2,332, 3,218.36 and 1,284.27 is: 1,772.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,332 : 3,218.36 = 1,284.27 : x
  2. Step 2: Convert to fraction form
    2,332/3,218.36 = 1,284.27/x
  3. Step 3: Cross multiply
    2,332x = 3,218.36 × 1,284.27
  4. Step 4: Simplify right side
    2,332x = 4,133,243.20
  5. Step 5: Solve for x
    x = 4,133,243.20/2,332
  6. Step 6: Final answer
    x = 1,772.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.