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Finding the Fourth Proportional to 9,813.32, 13,542.09 and 5,564.77

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Solution

The fourth proportional to 9,813.32, 13,542.09 and 5,564.77 is: 7,679.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,813.32 : 13,542.09 = 5,564.77 : x
  2. Step 2: Convert to fraction form
    9,813.32/13,542.09 = 5,564.77/x
  3. Step 3: Cross multiply
    9,813.32x = 13,542.09 × 5,564.77
  4. Step 4: Simplify right side
    9,813.32x = 75,358,520.64
  5. Step 5: Solve for x
    x = 75,358,520.64/9,813.32
  6. Step 6: Final answer
    x = 7,679.21

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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.