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Finding the Fourth Proportional to 10,969.75, 15,140.23 and 6,191.16

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Solution

The fourth proportional to 10,969.75, 15,140.23 and 6,191.16 is: 8,544.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,969.75 : 15,140.23 = 6,191.16 : x
  2. Step 2: Convert to fraction form
    10,969.75/15,140.23 = 6,191.16/x
  3. Step 3: Cross multiply
    10,969.75x = 15,140.23 × 6,191.16
  4. Step 4: Simplify right side
    10,969.75x = 93,735,565.40
  5. Step 5: Solve for x
    x = 93,735,565.40/10,969.75
  6. Step 6: Final answer
    x = 8,544.91

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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.