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Finding the Fourth Proportional to 3,356, 4,631.28 and 1,884

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Solution

The fourth proportional to 3,356, 4,631.28 and 1,884 is: 2,599.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,356 : 4,631.28 = 1,884 : x
  2. Step 2: Convert to fraction form
    3,356/4,631.28 = 1,884/x
  3. Step 3: Cross multiply
    3,356x = 4,631.28 × 1,884
  4. Step 4: Simplify right side
    3,356x = 8,725,331.52
  5. Step 5: Solve for x
    x = 8,725,331.52/3,356
  6. Step 6: Final answer
    x = 2,599.92

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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.