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Finding the Fourth Proportional to 13,649.67, 20,461.55 and 5,335.02

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Solution

The fourth proportional to 13,649.67, 20,461.55 and 5,335.02 is: 7,997.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,649.67 : 20,461.55 = 5,335.02 : x
  2. Step 2: Convert to fraction form
    13,649.67/20,461.55 = 5,335.02/x
  3. Step 3: Cross multiply
    13,649.67x = 20,461.55 × 5,335.02
  4. Step 4: Simplify right side
    13,649.67x = 109,162,751.81
  5. Step 5: Solve for x
    x = 109,162,751.81/13,649.67
  6. Step 6: Final answer
    x = 7,997.46

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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.