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Finding the Fourth Proportional to 8,675.95, 13,013.97 and 2,102.13

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Solution

The fourth proportional to 8,675.95, 13,013.97 and 2,102.13 is: 3,153.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,675.95 : 13,013.97 = 2,102.13 : x
  2. Step 2: Convert to fraction form
    8,675.95/13,013.97 = 2,102.13/x
  3. Step 3: Cross multiply
    8,675.95x = 13,013.97 × 2,102.13
  4. Step 4: Simplify right side
    8,675.95x = 27,356,981.18
  5. Step 5: Solve for x
    x = 27,356,981.18/8,675.95
  6. Step 6: Final answer
    x = 3,153.20

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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.