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Finding the Fourth Proportional to 3,133, 4,702.47 and 1,747.90

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Solution

The fourth proportional to 3,133, 4,702.47 and 1,747.90 is: 2,623.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,133 : 4,702.47 = 1,747.90 : x
  2. Step 2: Convert to fraction form
    3,133/4,702.47 = 1,747.90/x
  3. Step 3: Cross multiply
    3,133x = 4,702.47 × 1,747.90
  4. Step 4: Simplify right side
    3,133x = 8,219,447.31
  5. Step 5: Solve for x
    x = 8,219,447.31/3,133
  6. Step 6: Final answer
    x = 2,623.51

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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.