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Finding the Fourth Proportional to 3,808.64, 5,712.53 and 1,615.74

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Solution

The fourth proportional to 3,808.64, 5,712.53 and 1,615.74 is: 2,423.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,808.64 : 5,712.53 = 1,615.74 : x
  2. Step 2: Convert to fraction form
    3,808.64/5,712.53 = 1,615.74/x
  3. Step 3: Cross multiply
    3,808.64x = 5,712.53 × 1,615.74
  4. Step 4: Simplify right side
    3,808.64x = 9,229,955.14
  5. Step 5: Solve for x
    x = 9,229,955.14/3,808.64
  6. Step 6: Final answer
    x = 2,423.43

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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.