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Finding the Fourth Proportional to 21,969.29, 32,953.93 and 8,821.66

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Solution

The fourth proportional to 21,969.29, 32,953.93 and 8,821.66 is: 13,232.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,969.29 : 32,953.93 = 8,821.66 : x
  2. Step 2: Convert to fraction form
    21,969.29/32,953.93 = 8,821.66/x
  3. Step 3: Cross multiply
    21,969.29x = 32,953.93 × 8,821.66
  4. Step 4: Simplify right side
    21,969.29x = 290,708,239.63
  5. Step 5: Solve for x
    x = 290,708,239.63/21,969.29
  6. Step 6: Final answer
    x = 13,232.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.