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Finding the Fourth Proportional to 15,920.72, 21,969.60 and 8,847

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Solution

The fourth proportional to 15,920.72, 21,969.60 and 8,847 is: 12,208.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,920.72 : 21,969.60 = 8,847 : x
  2. Step 2: Convert to fraction form
    15,920.72/21,969.60 = 8,847/x
  3. Step 3: Cross multiply
    15,920.72x = 21,969.60 × 8,847
  4. Step 4: Simplify right side
    15,920.72x = 194,365,051.20
  5. Step 5: Solve for x
    x = 194,365,051.20/15,920.72
  6. Step 6: Final answer
    x = 12,208.31

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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.