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Finding the Fourth Proportional to 21,720.96, 32,574.96 and 7,871.04

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Solution

The fourth proportional to 21,720.96, 32,574.96 and 7,871.04 is: 11,804.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,720.96 : 32,574.96 = 7,871.04 : x
  2. Step 2: Convert to fraction form
    21,720.96/32,574.96 = 7,871.04/x
  3. Step 3: Cross multiply
    21,720.96x = 32,574.96 × 7,871.04
  4. Step 4: Simplify right side
    21,720.96x = 256,398,813.16
  5. Step 5: Solve for x
    x = 256,398,813.16/21,720.96
  6. Step 6: Final answer
    x = 11,804.21

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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.