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Finding the Fourth Proportional to 6,412.06, 9,615.01 and 3,637.99

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Solution

The fourth proportional to 6,412.06, 9,615.01 and 3,637.99 is: 5,455.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.06 : 9,615.01 = 3,637.99 : x
  2. Step 2: Convert to fraction form
    6,412.06/9,615.01 = 3,637.99/x
  3. Step 3: Cross multiply
    6,412.06x = 9,615.01 × 3,637.99
  4. Step 4: Simplify right side
    6,412.06x = 34,979,310.23
  5. Step 5: Solve for x
    x = 34,979,310.23/6,412.06
  6. Step 6: Final answer
    x = 5,455.24

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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.