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Finding the Fourth Proportional to 5,404, 7,457.52 and 2,920

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Solution

The fourth proportional to 5,404, 7,457.52 and 2,920 is: 4,029.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,404 : 7,457.52 = 2,920 : x
  2. Step 2: Convert to fraction form
    5,404/7,457.52 = 2,920/x
  3. Step 3: Cross multiply
    5,404x = 7,457.52 × 2,920
  4. Step 4: Simplify right side
    5,404x = 21,775,958.40
  5. Step 5: Solve for x
    x = 21,775,958.40/5,404
  6. Step 6: Final answer
    x = 4,029.60

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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.