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Finding the Fourth Proportional to 6,142.96, 8,476.97 and 3,490

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Solution

The fourth proportional to 6,142.96, 8,476.97 and 3,490 is: 4,816.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142.96 : 8,476.97 = 3,490 : x
  2. Step 2: Convert to fraction form
    6,142.96/8,476.97 = 3,490/x
  3. Step 3: Cross multiply
    6,142.96x = 8,476.97 × 3,490
  4. Step 4: Simplify right side
    6,142.96x = 29,584,607.85
  5. Step 5: Solve for x
    x = 29,584,607.85/6,142.96
  6. Step 6: Final answer
    x = 4,816.02

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Why These Related Problems?

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