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Finding the Fourth Proportional to 9,210.56, 13,811.56 and 2,969.40

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Solution

The fourth proportional to 9,210.56, 13,811.56 and 2,969.40 is: 4,452.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,210.56 : 13,811.56 = 2,969.40 : x
  2. Step 2: Convert to fraction form
    9,210.56/13,811.56 = 2,969.40/x
  3. Step 3: Cross multiply
    9,210.56x = 13,811.56 × 2,969.40
  4. Step 4: Simplify right side
    9,210.56x = 41,012,046.26
  5. Step 5: Solve for x
    x = 41,012,046.26/9,210.56
  6. Step 6: Final answer
    x = 4,452.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.