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Finding the Fourth Proportional to 9,042.40, 13,563.60 and 5,942.13

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Solution

The fourth proportional to 9,042.40, 13,563.60 and 5,942.13 is: 8,913.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,042.40 : 13,563.60 = 5,942.13 : x
  2. Step 2: Convert to fraction form
    9,042.40/13,563.60 = 5,942.13/x
  3. Step 3: Cross multiply
    9,042.40x = 13,563.60 × 5,942.13
  4. Step 4: Simplify right side
    9,042.40x = 80,596,674.47
  5. Step 5: Solve for x
    x = 80,596,674.47/9,042.40
  6. Step 6: Final answer
    x = 8,913.20

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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.