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Finding the Fourth Proportional to 15,722.67, 21,697.34 and 8,649.54

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Solution

The fourth proportional to 15,722.67, 21,697.34 and 8,649.54 is: 11,936.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,722.67 : 21,697.34 = 8,649.54 : x
  2. Step 2: Convert to fraction form
    15,722.67/21,697.34 = 8,649.54/x
  3. Step 3: Cross multiply
    15,722.67x = 21,697.34 × 8,649.54
  4. Step 4: Simplify right side
    15,722.67x = 187,671,966.98
  5. Step 5: Solve for x
    x = 187,671,966.98/15,722.67
  6. Step 6: Final answer
    x = 11,936.39

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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.