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Finding the Fourth Proportional to 15,818.66, 21,829.44 and 9,847.34

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Solution

The fourth proportional to 15,818.66, 21,829.44 and 9,847.34 is: 13,589.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,818.66 : 21,829.44 = 9,847.34 : x
  2. Step 2: Convert to fraction form
    15,818.66/21,829.44 = 9,847.34/x
  3. Step 3: Cross multiply
    15,818.66x = 21,829.44 × 9,847.34
  4. Step 4: Simplify right side
    15,818.66x = 214,961,917.69
  5. Step 5: Solve for x
    x = 214,961,917.69/15,818.66
  6. Step 6: Final answer
    x = 13,589.14

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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.