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Finding the Fourth Proportional to 13,697.56, 18,885.48 and 11,432.16

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Solution

The fourth proportional to 13,697.56, 18,885.48 and 11,432.16 is: 15,762.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,697.56 : 18,885.48 = 11,432.16 : x
  2. Step 2: Convert to fraction form
    13,697.56/18,885.48 = 11,432.16/x
  3. Step 3: Cross multiply
    13,697.56x = 18,885.48 × 11,432.16
  4. Step 4: Simplify right side
    13,697.56x = 215,901,829.04
  5. Step 5: Solve for x
    x = 215,901,829.04/13,697.56
  6. Step 6: Final answer
    x = 15,762.06

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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.