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Finding the Fourth Proportional to 15,684, 21,643.76 and 8,610.26

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Solution

The fourth proportional to 15,684, 21,643.76 and 8,610.26 is: 11,882.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,684 : 21,643.76 = 8,610.26 : x
  2. Step 2: Convert to fraction form
    15,684/21,643.76 = 8,610.26/x
  3. Step 3: Cross multiply
    15,684x = 21,643.76 × 8,610.26
  4. Step 4: Simplify right side
    15,684x = 186,358,400.98
  5. Step 5: Solve for x
    x = 186,358,400.98/15,684
  6. Step 6: Final answer
    x = 11,882.07

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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.