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Finding the Fourth Proportional to 21,969.79, 32,954.68 and 8,822.16

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Solution

The fourth proportional to 21,969.79, 32,954.68 and 8,822.16 is: 13,233.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,969.79 : 32,954.68 = 8,822.16 : x
  2. Step 2: Convert to fraction form
    21,969.79/32,954.68 = 8,822.16/x
  3. Step 3: Cross multiply
    21,969.79x = 32,954.68 × 8,822.16
  4. Step 4: Simplify right side
    21,969.79x = 290,731,437.65
  5. Step 5: Solve for x
    x = 290,731,437.65/21,969.79
  6. Step 6: Final answer
    x = 13,233.24

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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.