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Finding the Fourth Proportional to 21,968.88, 32,949 and 7,178.32

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Solution

The fourth proportional to 21,968.88, 32,949 and 7,178.32 is: 10,766.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,968.88 : 32,949 = 7,178.32 : x
  2. Step 2: Convert to fraction form
    21,968.88/32,949 = 7,178.32/x
  3. Step 3: Cross multiply
    21,968.88x = 32,949 × 7,178.32
  4. Step 4: Simplify right side
    21,968.88x = 236,518,465.68
  5. Step 5: Solve for x
    x = 236,518,465.68/21,968.88
  6. Step 6: Final answer
    x = 10,766.07

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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.