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Finding the Fourth Proportional to 10,111.75, 15,167.62 and 10,097.15

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Solution

The fourth proportional to 10,111.75, 15,167.62 and 10,097.15 is: 15,145.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,111.75 : 15,167.62 = 10,097.15 : x
  2. Step 2: Convert to fraction form
    10,111.75/15,167.62 = 10,097.15/x
  3. Step 3: Cross multiply
    10,111.75x = 15,167.62 × 10,097.15
  4. Step 4: Simplify right side
    10,111.75x = 153,149,671.07
  5. Step 5: Solve for x
    x = 153,149,671.07/10,111.75
  6. Step 6: Final answer
    x = 15,145.72

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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.