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Finding the Fourth Proportional to 9,813.53, 13,542 and 5,564.18

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Solution

The fourth proportional to 9,813.53, 13,542 and 5,564.18 is: 7,678.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,813.53 : 13,542 = 5,564.18 : x
  2. Step 2: Convert to fraction form
    9,813.53/13,542 = 5,564.18/x
  3. Step 3: Cross multiply
    9,813.53x = 13,542 × 5,564.18
  4. Step 4: Simplify right side
    9,813.53x = 75,350,057.85
  5. Step 5: Solve for x
    x = 75,350,057.85/9,813.53
  6. Step 6: Final answer
    x = 7,678.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.