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Finding the Fourth Proportional to 15,689, 21,649.74 and 8,613.96

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Solution

The fourth proportional to 15,689, 21,649.74 and 8,613.96 is: 11,886.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,689 : 21,649.74 = 8,613.96 : x
  2. Step 2: Convert to fraction form
    15,689/21,649.74 = 8,613.96/x
  3. Step 3: Cross multiply
    15,689x = 21,649.74 × 8,613.96
  4. Step 4: Simplify right side
    15,689x = 186,489,994.37
  5. Step 5: Solve for x
    x = 186,489,994.37/15,689
  6. Step 6: Final answer
    x = 11,886.67

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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.