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Finding the Fourth Proportional to 13,658.61, 18,839.43 and 8,356.05

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Solution

The fourth proportional to 13,658.61, 18,839.43 and 8,356.05 is: 11,525.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,658.61 : 18,839.43 = 8,356.05 : x
  2. Step 2: Convert to fraction form
    13,658.61/18,839.43 = 8,356.05/x
  3. Step 3: Cross multiply
    13,658.61x = 18,839.43 × 8,356.05
  4. Step 4: Simplify right side
    13,658.61x = 157,423,219.05
  5. Step 5: Solve for x
    x = 157,423,219.05/13,658.61
  6. Step 6: Final answer
    x = 11,525.56

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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.