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Finding the Fourth Proportional to 4,281, 6,426.90 and 3,699.69

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Solution

The fourth proportional to 4,281, 6,426.90 and 3,699.69 is: 5,554.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,281 : 6,426.90 = 3,699.69 : x
  2. Step 2: Convert to fraction form
    4,281/6,426.90 = 3,699.69/x
  3. Step 3: Cross multiply
    4,281x = 6,426.90 × 3,699.69
  4. Step 4: Simplify right side
    4,281x = 23,777,537.66
  5. Step 5: Solve for x
    x = 23,777,537.66/4,281
  6. Step 6: Final answer
    x = 5,554.20

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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.