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Finding the Fourth Proportional to 7,002.65, 10,486.69 and 5,219.44

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Solution

The fourth proportional to 7,002.65, 10,486.69 and 5,219.44 is: 7,816.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.65 : 10,486.69 = 5,219.44 : x
  2. Step 2: Convert to fraction form
    7,002.65/10,486.69 = 5,219.44/x
  3. Step 3: Cross multiply
    7,002.65x = 10,486.69 × 5,219.44
  4. Step 4: Simplify right side
    7,002.65x = 54,734,649.25
  5. Step 5: Solve for x
    x = 54,734,649.25/7,002.65
  6. Step 6: Final answer
    x = 7,816.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.