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Finding the Fourth Proportional to 3,135.66, 4,702.08 and 943.92

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Solution

The fourth proportional to 3,135.66, 4,702.08 and 943.92 is: 1,415.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,135.66 : 4,702.08 = 943.92 : x
  2. Step 2: Convert to fraction form
    3,135.66/4,702.08 = 943.92/x
  3. Step 3: Cross multiply
    3,135.66x = 4,702.08 × 943.92
  4. Step 4: Simplify right side
    3,135.66x = 4,438,387.35
  5. Step 5: Solve for x
    x = 4,438,387.35/3,135.66
  6. Step 6: Final answer
    x = 1,415.46

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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.