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Finding the Fourth Proportional to 15,716.53, 21,688.97 and 8,643

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Solution

The fourth proportional to 15,716.53, 21,688.97 and 8,643 is: 11,927.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,716.53 : 21,688.97 = 8,643 : x
  2. Step 2: Convert to fraction form
    15,716.53/21,688.97 = 8,643/x
  3. Step 3: Cross multiply
    15,716.53x = 21,688.97 × 8,643
  4. Step 4: Simplify right side
    15,716.53x = 187,457,724.50
  5. Step 5: Solve for x
    x = 187,457,724.50/15,716.53
  6. Step 6: Final answer
    x = 11,927.42

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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.