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Finding the Fourth Proportional to 21,815.24, 32,719.62 and 7,961

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Solution

The fourth proportional to 21,815.24, 32,719.62 and 7,961 is: 11,940.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,815.24 : 32,719.62 = 7,961 : x
  2. Step 2: Convert to fraction form
    21,815.24/32,719.62 = 7,961/x
  3. Step 3: Cross multiply
    21,815.24x = 32,719.62 × 7,961
  4. Step 4: Simplify right side
    21,815.24x = 260,480,894.82
  5. Step 5: Solve for x
    x = 260,480,894.82/21,815.24
  6. Step 6: Final answer
    x = 11,940.32

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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.