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Finding the Fourth Proportional to 9,102.12, 13,642.53 and 3,476.10

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Solution

The fourth proportional to 9,102.12, 13,642.53 and 3,476.10 is: 5,210.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,102.12 : 13,642.53 = 3,476.10 : x
  2. Step 2: Convert to fraction form
    9,102.12/13,642.53 = 3,476.10/x
  3. Step 3: Cross multiply
    9,102.12x = 13,642.53 × 3,476.10
  4. Step 4: Simplify right side
    9,102.12x = 47,422,836.66
  5. Step 5: Solve for x
    x = 47,422,836.66/9,102.12
  6. Step 6: Final answer
    x = 5,210.09

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