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Finding the Fourth Proportional to 6,142.93, 8,480.43 and 4,156.17

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Solution

The fourth proportional to 6,142.93, 8,480.43 and 4,156.17 is: 5,737.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142.93 : 8,480.43 = 4,156.17 : x
  2. Step 2: Convert to fraction form
    6,142.93/8,480.43 = 4,156.17/x
  3. Step 3: Cross multiply
    6,142.93x = 8,480.43 × 4,156.17
  4. Step 4: Simplify right side
    6,142.93x = 35,246,108.75
  5. Step 5: Solve for x
    x = 35,246,108.75/6,142.93
  6. Step 6: Final answer
    x = 5,737.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.