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Finding the Fourth Proportional to 5,713.80, 7,885.12 and 3,356

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Solution

The fourth proportional to 5,713.80, 7,885.12 and 3,356 is: 4,631.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,713.80 : 7,885.12 = 3,356 : x
  2. Step 2: Convert to fraction form
    5,713.80/7,885.12 = 3,356/x
  3. Step 3: Cross multiply
    5,713.80x = 7,885.12 × 3,356
  4. Step 4: Simplify right side
    5,713.80x = 26,462,462.72
  5. Step 5: Solve for x
    x = 26,462,462.72/5,713.80
  6. Step 6: Final answer
    x = 4,631.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.