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Finding the Fourth Proportional to 2,890.88, 3,989.41 and 1,648.88

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Solution

The fourth proportional to 2,890.88, 3,989.41 and 1,648.88 is: 2,275.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,890.88 : 3,989.41 = 1,648.88 : x
  2. Step 2: Convert to fraction form
    2,890.88/3,989.41 = 1,648.88/x
  3. Step 3: Cross multiply
    2,890.88x = 3,989.41 × 1,648.88
  4. Step 4: Simplify right side
    2,890.88x = 6,578,034.29
  5. Step 5: Solve for x
    x = 6,578,034.29/2,890.88
  6. Step 6: Final answer
    x = 2,275.45

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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.