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Finding the Fourth Proportional to 6,142.77, 8,477.02 and 3,490.18

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Solution

The fourth proportional to 6,142.77, 8,477.02 and 3,490.18 is: 4,816.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142.77 : 8,477.02 = 3,490.18 : x
  2. Step 2: Convert to fraction form
    6,142.77/8,477.02 = 3,490.18/x
  3. Step 3: Cross multiply
    6,142.77x = 8,477.02 × 3,490.18
  4. Step 4: Simplify right side
    6,142.77x = 29,586,265.83
  5. Step 5: Solve for x
    x = 29,586,265.83/6,142.77
  6. Step 6: Final answer
    x = 4,816.44

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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.