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Finding the Fourth Proportional to 5,342.64, 7,372.82 and 2,920

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Solution

The fourth proportional to 5,342.64, 7,372.82 and 2,920 is: 4,029.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,342.64 : 7,372.82 = 2,920 : x
  2. Step 2: Convert to fraction form
    5,342.64/7,372.82 = 2,920/x
  3. Step 3: Cross multiply
    5,342.64x = 7,372.82 × 2,920
  4. Step 4: Simplify right side
    5,342.64x = 21,528,634.40
  5. Step 5: Solve for x
    x = 21,528,634.40/5,342.64
  6. Step 6: Final answer
    x = 4,029.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.