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Finding the Fourth Proportional to 15,716.39, 21,688.02 and 8,642.39

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Solution

The fourth proportional to 15,716.39, 21,688.02 and 8,642.39 is: 11,926.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,716.39 : 21,688.02 = 8,642.39 : x
  2. Step 2: Convert to fraction form
    15,716.39/21,688.02 = 8,642.39/x
  3. Step 3: Cross multiply
    15,716.39x = 21,688.02 × 8,642.39
  4. Step 4: Simplify right side
    15,716.39x = 187,436,283.96
  5. Step 5: Solve for x
    x = 187,436,283.96/15,716.39
  6. Step 6: Final answer
    x = 11,926.17

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1.5x scale

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.