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Finding the Fourth Proportional to 10,419.18, 14,378.18 and 5,942.84

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Solution

The fourth proportional to 10,419.18, 14,378.18 and 5,942.84 is: 8,200.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,419.18 : 14,378.18 = 5,942.84 : x
  2. Step 2: Convert to fraction form
    10,419.18/14,378.18 = 5,942.84/x
  3. Step 3: Cross multiply
    10,419.18x = 14,378.18 × 5,942.84
  4. Step 4: Simplify right side
    10,419.18x = 85,447,223.23
  5. Step 5: Solve for x
    x = 85,447,223.23/10,419.18
  6. Step 6: Final answer
    x = 8,200.95

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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.