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Finding the Fourth Proportional to 6,531.76, 9,014.39 and 3,699.63

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Solution

The fourth proportional to 6,531.76, 9,014.39 and 3,699.63 is: 5,105.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,531.76 : 9,014.39 = 3,699.63 : x
  2. Step 2: Convert to fraction form
    6,531.76/9,014.39 = 3,699.63/x
  3. Step 3: Cross multiply
    6,531.76x = 9,014.39 × 3,699.63
  4. Step 4: Simplify right side
    6,531.76x = 33,349,907.68
  5. Step 5: Solve for x
    x = 33,349,907.68/6,531.76
  6. Step 6: Final answer
    x = 5,105.81

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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.