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Finding the Fourth Proportional to 7,259.90, 10,023.44 and 5,578.20

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Solution

The fourth proportional to 7,259.90, 10,023.44 and 5,578.20 is: 7,701.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,259.90 : 10,023.44 = 5,578.20 : x
  2. Step 2: Convert to fraction form
    7,259.90/10,023.44 = 5,578.20/x
  3. Step 3: Cross multiply
    7,259.90x = 10,023.44 × 5,578.20
  4. Step 4: Simplify right side
    7,259.90x = 55,912,725.12
  5. Step 5: Solve for x
    x = 55,912,725.12/7,259.90
  6. Step 6: Final answer
    x = 7,701.59

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