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Finding the Fourth Proportional to 15,716.78, 21,689.16 and 8,643.68

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Solution

The fourth proportional to 15,716.78, 21,689.16 and 8,643.68 is: 11,928.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,716.78 : 21,689.16 = 8,643.68 : x
  2. Step 2: Convert to fraction form
    15,716.78/21,689.16 = 8,643.68/x
  3. Step 3: Cross multiply
    15,716.78x = 21,689.16 × 8,643.68
  4. Step 4: Simplify right side
    15,716.78x = 187,474,158.51
  5. Step 5: Solve for x
    x = 187,474,158.51/15,716.78
  6. Step 6: Final answer
    x = 11,928.28

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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.