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Finding the Fourth Proportional to 21,970.54, 32,955.80 and 8,822.91

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Solution

The fourth proportional to 21,970.54, 32,955.80 and 8,822.91 is: 13,234.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,970.54 : 32,955.80 = 8,822.91 : x
  2. Step 2: Convert to fraction form
    21,970.54/32,955.80 = 8,822.91/x
  3. Step 3: Cross multiply
    21,970.54x = 32,955.80 × 8,822.91
  4. Step 4: Simplify right side
    21,970.54x = 290,766,079.44
  5. Step 5: Solve for x
    x = 290,766,079.44/21,970.54
  6. Step 6: Final answer
    x = 13,234.36

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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.