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Finding the Fourth Proportional to 3,807.16, 5,713.20 and 1,615.84

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Solution

The fourth proportional to 3,807.16, 5,713.20 and 1,615.84 is: 2,424.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.16 : 5,713.20 = 1,615.84 : x
  2. Step 2: Convert to fraction form
    3,807.16/5,713.20 = 1,615.84/x
  3. Step 3: Cross multiply
    3,807.16x = 5,713.20 × 1,615.84
  4. Step 4: Simplify right side
    3,807.16x = 9,231,617.09
  5. Step 5: Solve for x
    x = 9,231,617.09/3,807.16
  6. Step 6: Final answer
    x = 2,424.80

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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.