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Finding the Fourth Proportional to 15,689, 21,650.82 and 8,615.54

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Solution

The fourth proportional to 15,689, 21,650.82 and 8,615.54 is: 11,889.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,689 : 21,650.82 = 8,615.54 : x
  2. Step 2: Convert to fraction form
    15,689/21,650.82 = 8,615.54/x
  3. Step 3: Cross multiply
    15,689x = 21,650.82 × 8,615.54
  4. Step 4: Simplify right side
    15,689x = 186,533,505.74
  5. Step 5: Solve for x
    x = 186,533,505.74/15,689
  6. Step 6: Final answer
    x = 11,889.45

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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.