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Finding the Fourth Proportional to 15,713.64, 21,684.62 and 8,640

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Solution

The fourth proportional to 15,713.64, 21,684.62 and 8,640 is: 11,923.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,713.64 : 21,684.62 = 8,640 : x
  2. Step 2: Convert to fraction form
    15,713.64/21,684.62 = 8,640/x
  3. Step 3: Cross multiply
    15,713.64x = 21,684.62 × 8,640
  4. Step 4: Simplify right side
    15,713.64x = 187,355,116.80
  5. Step 5: Solve for x
    x = 187,355,116.80/15,713.64
  6. Step 6: Final answer
    x = 11,923.09

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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.