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Finding the Fourth Proportional to 8,110.08, 12,165.08 and 1,954.08

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Solution

The fourth proportional to 8,110.08, 12,165.08 and 1,954.08 is: 2,931.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,110.08 : 12,165.08 = 1,954.08 : x
  2. Step 2: Convert to fraction form
    8,110.08/12,165.08 = 1,954.08/x
  3. Step 3: Cross multiply
    8,110.08x = 12,165.08 × 1,954.08
  4. Step 4: Simplify right side
    8,110.08x = 23,771,539.53
  5. Step 5: Solve for x
    x = 23,771,539.53/8,110.08
  6. Step 6: Final answer
    x = 2,931.11

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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.