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Finding the Fourth Proportional to 13,291.22, 19,909.50 and 9,600.86

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Solution

The fourth proportional to 13,291.22, 19,909.50 and 9,600.86 is: 14,381.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,291.22 : 19,909.50 = 9,600.86 : x
  2. Step 2: Convert to fraction form
    13,291.22/19,909.50 = 9,600.86/x
  3. Step 3: Cross multiply
    13,291.22x = 19,909.50 × 9,600.86
  4. Step 4: Simplify right side
    13,291.22x = 191,148,335.94
  5. Step 5: Solve for x
    x = 191,148,335.94/13,291.22
  6. Step 6: Final answer
    x = 14,381.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.