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Finding the Fourth Proportional to 8,110.57, 12,165.84 and 1,954.57

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Solution

The fourth proportional to 8,110.57, 12,165.84 and 1,954.57 is: 2,931.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,110.57 : 12,165.84 = 1,954.57 : x
  2. Step 2: Convert to fraction form
    8,110.57/12,165.84 = 1,954.57/x
  3. Step 3: Cross multiply
    8,110.57x = 12,165.84 × 1,954.57
  4. Step 4: Simplify right side
    8,110.57x = 23,778,985.89
  5. Step 5: Solve for x
    x = 23,778,985.89/8,110.57
  6. Step 6: Final answer
    x = 2,931.85

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1.5x scale

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.