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Finding the Fourth Proportional to 13,534.96, 18,679.99 and 7,567.86

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Solution

The fourth proportional to 13,534.96, 18,679.99 and 7,567.86 is: 10,444.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,534.96 : 18,679.99 = 7,567.86 : x
  2. Step 2: Convert to fraction form
    13,534.96/18,679.99 = 7,567.86/x
  3. Step 3: Cross multiply
    13,534.96x = 18,679.99 × 7,567.86
  4. Step 4: Simplify right side
    13,534.96x = 141,367,549.12
  5. Step 5: Solve for x
    x = 141,367,549.12/13,534.96
  6. Step 6: Final answer
    x = 10,444.62

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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.