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Finding the Fourth Proportional to 21,993.62, 32,992.95 and 6,411.24

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Solution

The fourth proportional to 21,993.62, 32,992.95 and 6,411.24 is: 9,617.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,993.62 : 32,992.95 = 6,411.24 : x
  2. Step 2: Convert to fraction form
    21,993.62/32,992.95 = 6,411.24/x
  3. Step 3: Cross multiply
    21,993.62x = 32,992.95 × 6,411.24
  4. Step 4: Simplify right side
    21,993.62x = 211,525,720.76
  5. Step 5: Solve for x
    x = 211,525,720.76/21,993.62
  6. Step 6: Final answer
    x = 9,617.60

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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.