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Finding the Fourth Proportional to 15,713.14, 21,684.69 and 8,640.10

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Solution

The fourth proportional to 15,713.14, 21,684.69 and 8,640.10 is: 11,923.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,713.14 : 21,684.69 = 8,640.10 : x
  2. Step 2: Convert to fraction form
    15,713.14/21,684.69 = 8,640.10/x
  3. Step 3: Cross multiply
    15,713.14x = 21,684.69 × 8,640.10
  4. Step 4: Simplify right side
    15,713.14x = 187,357,890.07
  5. Step 5: Solve for x
    x = 187,357,890.07/15,713.14
  6. Step 6: Final answer
    x = 11,923.64

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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.