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Finding the Fourth Proportional to 2,702.43, 4,054.05 and 947.91

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Solution

The fourth proportional to 2,702.43, 4,054.05 and 947.91 is: 1,422.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.43 : 4,054.05 = 947.91 : x
  2. Step 2: Convert to fraction form
    2,702.43/4,054.05 = 947.91/x
  3. Step 3: Cross multiply
    2,702.43x = 4,054.05 × 947.91
  4. Step 4: Simplify right side
    2,702.43x = 3,842,874.54
  5. Step 5: Solve for x
    x = 3,842,874.54/2,702.43
  6. Step 6: Final answer
    x = 1,422.01

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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.