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Finding the Fourth Proportional to 13,432.14, 18,536.64 and 7,463.70

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Solution

The fourth proportional to 13,432.14, 18,536.64 and 7,463.70 is: 10,300.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,432.14 : 18,536.64 = 7,463.70 : x
  2. Step 2: Convert to fraction form
    13,432.14/18,536.64 = 7,463.70/x
  3. Step 3: Cross multiply
    13,432.14x = 18,536.64 × 7,463.70
  4. Step 4: Simplify right side
    13,432.14x = 138,351,919.97
  5. Step 5: Solve for x
    x = 138,351,919.97/13,432.14
  6. Step 6: Final answer
    x = 10,300.07

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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.