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Finding the Fourth Proportional to 11,386.75, 17,088.95 and 7,901.23

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Solution

The fourth proportional to 11,386.75, 17,088.95 and 7,901.23 is: 11,857.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,386.75 : 17,088.95 = 7,901.23 : x
  2. Step 2: Convert to fraction form
    11,386.75/17,088.95 = 7,901.23/x
  3. Step 3: Cross multiply
    11,386.75x = 17,088.95 × 7,901.23
  4. Step 4: Simplify right side
    11,386.75x = 135,023,684.90
  5. Step 5: Solve for x
    x = 135,023,684.90/11,386.75
  6. Step 6: Final answer
    x = 11,857.97

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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.