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Finding the Fourth Proportional to 7,008.56, 10,509.88 and 3,845.20

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Solution

The fourth proportional to 7,008.56, 10,509.88 and 3,845.20 is: 5,766.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,008.56 : 10,509.88 = 3,845.20 : x
  2. Step 2: Convert to fraction form
    7,008.56/10,509.88 = 3,845.20/x
  3. Step 3: Cross multiply
    7,008.56x = 10,509.88 × 3,845.20
  4. Step 4: Simplify right side
    7,008.56x = 40,412,590.58
  5. Step 5: Solve for x
    x = 40,412,590.58/7,008.56
  6. Step 6: Final answer
    x = 5,766.18

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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.