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Finding the Fourth Proportional to 10,742.79, 16,114.18 and 3,347.84

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Solution

The fourth proportional to 10,742.79, 16,114.18 and 3,347.84 is: 5,021.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,742.79 : 16,114.18 = 3,347.84 : x
  2. Step 2: Convert to fraction form
    10,742.79/16,114.18 = 3,347.84/x
  3. Step 3: Cross multiply
    10,742.79x = 16,114.18 × 3,347.84
  4. Step 4: Simplify right side
    10,742.79x = 53,947,679.63
  5. Step 5: Solve for x
    x = 53,947,679.63/10,742.79
  6. Step 6: Final answer
    x = 5,021.76

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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.