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Finding the Fourth Proportional to 6,440.61, 9,654.23 and 3,661.30

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Solution

The fourth proportional to 6,440.61, 9,654.23 and 3,661.30 is: 5,488.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,440.61 : 9,654.23 = 3,661.30 : x
  2. Step 2: Convert to fraction form
    6,440.61/9,654.23 = 3,661.30/x
  3. Step 3: Cross multiply
    6,440.61x = 9,654.23 × 3,661.30
  4. Step 4: Simplify right side
    6,440.61x = 35,346,984.03
  5. Step 5: Solve for x
    x = 35,346,984.03/6,440.61
  6. Step 6: Final answer
    x = 5,488.14

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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.