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Finding the Fourth Proportional to 6,902, 10,354.64 and 2,285.04

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Solution

The fourth proportional to 6,902, 10,354.64 and 2,285.04 is: 3,428.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,902 : 10,354.64 = 2,285.04 : x
  2. Step 2: Convert to fraction form
    6,902/10,354.64 = 2,285.04/x
  3. Step 3: Cross multiply
    6,902x = 10,354.64 × 2,285.04
  4. Step 4: Simplify right side
    6,902x = 23,660,766.59
  5. Step 5: Solve for x
    x = 23,660,766.59/6,902
  6. Step 6: Final answer
    x = 3,428.10

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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.