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Finding the Fourth Proportional to 3,275.88, 4,914.72 and 1,427.15

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Solution

The fourth proportional to 3,275.88, 4,914.72 and 1,427.15 is: 2,141.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,275.88 : 4,914.72 = 1,427.15 : x
  2. Step 2: Convert to fraction form
    3,275.88/4,914.72 = 1,427.15/x
  3. Step 3: Cross multiply
    3,275.88x = 4,914.72 × 1,427.15
  4. Step 4: Simplify right side
    3,275.88x = 7,014,018.07
  5. Step 5: Solve for x
    x = 7,014,018.07/3,275.88
  6. Step 6: Final answer
    x = 2,141.11

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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.