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Finding the Fourth Proportional to 8,693.50, 13,035.93 and 3,497.98

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Solution

The fourth proportional to 8,693.50, 13,035.93 and 3,497.98 is: 5,245.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,693.50 : 13,035.93 = 3,497.98 : x
  2. Step 2: Convert to fraction form
    8,693.50/13,035.93 = 3,497.98/x
  3. Step 3: Cross multiply
    8,693.50x = 13,035.93 × 3,497.98
  4. Step 4: Simplify right side
    8,693.50x = 45,599,422.42
  5. Step 5: Solve for x
    x = 45,599,422.42/8,693.50
  6. Step 6: Final answer
    x = 5,245.23

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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.