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Finding the Fourth Proportional to 5,713.61, 8,564.58 and 3,243.21

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Solution

The fourth proportional to 5,713.61, 8,564.58 and 3,243.21 is: 4,861.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,713.61 : 8,564.58 = 3,243.21 : x
  2. Step 2: Convert to fraction form
    5,713.61/8,564.58 = 3,243.21/x
  3. Step 3: Cross multiply
    5,713.61x = 8,564.58 × 3,243.21
  4. Step 4: Simplify right side
    5,713.61x = 27,776,731.50
  5. Step 5: Solve for x
    x = 27,776,731.50/5,713.61
  6. Step 6: Final answer
    x = 4,861.50

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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.