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Finding the Fourth Proportional to 21,967.54, 32,928.05 and 7,172.48

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Solution

The fourth proportional to 21,967.54, 32,928.05 and 7,172.48 is: 10,751.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,967.54 : 32,928.05 = 7,172.48 : x
  2. Step 2: Convert to fraction form
    21,967.54/32,928.05 = 7,172.48/x
  3. Step 3: Cross multiply
    21,967.54x = 32,928.05 × 7,172.48
  4. Step 4: Simplify right side
    21,967.54x = 236,175,880.32
  5. Step 5: Solve for x
    x = 236,175,880.32/21,967.54
  6. Step 6: Final answer
    x = 10,751.13

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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.