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Finding the Fourth Proportional to 7,447.68, 10,290.24 and 6,203.52

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Solution

The fourth proportional to 7,447.68, 10,290.24 and 6,203.52 is: 8,571.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,447.68 : 10,290.24 = 6,203.52 : x
  2. Step 2: Convert to fraction form
    7,447.68/10,290.24 = 6,203.52/x
  3. Step 3: Cross multiply
    7,447.68x = 10,290.24 × 6,203.52
  4. Step 4: Simplify right side
    7,447.68x = 63,835,709.64
  5. Step 5: Solve for x
    x = 63,835,709.64/7,447.68
  6. Step 6: Final answer
    x = 8,571.22

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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.