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Finding the Fourth Proportional to 2,046.50, 2,825.28 and 1,384.52

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Solution

The fourth proportional to 2,046.50, 2,825.28 and 1,384.52 is: 1,911.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.50 : 2,825.28 = 1,384.52 : x
  2. Step 2: Convert to fraction form
    2,046.50/2,825.28 = 1,384.52/x
  3. Step 3: Cross multiply
    2,046.50x = 2,825.28 × 1,384.52
  4. Step 4: Simplify right side
    2,046.50x = 3,911,663.73
  5. Step 5: Solve for x
    x = 3,911,663.73/2,046.50
  6. Step 6: Final answer
    x = 1,911.40

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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.