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Finding the Fourth Proportional to 13,432.29, 18,536.22 and 7,464.48

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Solution

The fourth proportional to 13,432.29, 18,536.22 and 7,464.48 is: 10,300.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,432.29 : 18,536.22 = 7,464.48 : x
  2. Step 2: Convert to fraction form
    13,432.29/18,536.22 = 7,464.48/x
  3. Step 3: Cross multiply
    13,432.29x = 18,536.22 × 7,464.48
  4. Step 4: Simplify right side
    13,432.29x = 138,363,243.47
  5. Step 5: Solve for x
    x = 138,363,243.47/13,432.29
  6. Step 6: Final answer
    x = 10,300.79

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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.