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Finding the Fourth Proportional to 9,811.95, 13,542.44 and 5,563.10

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Solution

The fourth proportional to 9,811.95, 13,542.44 and 5,563.10 is: 7,678.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811.95 : 13,542.44 = 5,563.10 : x
  2. Step 2: Convert to fraction form
    9,811.95/13,542.44 = 5,563.10/x
  3. Step 3: Cross multiply
    9,811.95x = 13,542.44 × 5,563.10
  4. Step 4: Simplify right side
    9,811.95x = 75,337,909.12
  5. Step 5: Solve for x
    x = 75,337,909.12/9,811.95
  6. Step 6: Final answer
    x = 7,678.18

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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.