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Finding the Fourth Proportional to 2,848.69, 4,274.65 and 2,275.21

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Solution

The fourth proportional to 2,848.69, 4,274.65 and 2,275.21 is: 3,414.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,848.69 : 4,274.65 = 2,275.21 : x
  2. Step 2: Convert to fraction form
    2,848.69/4,274.65 = 2,275.21/x
  3. Step 3: Cross multiply
    2,848.69x = 4,274.65 × 2,275.21
  4. Step 4: Simplify right side
    2,848.69x = 9,725,726.43
  5. Step 5: Solve for x
    x = 9,725,726.43/2,848.69
  6. Step 6: Final answer
    x = 3,414.10

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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.