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Finding the Fourth Proportional to 21,517, 32,275.50 and 6,925

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Solution

The fourth proportional to 21,517, 32,275.50 and 6,925 is: 10,387.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,517 : 32,275.50 = 6,925 : x
  2. Step 2: Convert to fraction form
    21,517/32,275.50 = 6,925/x
  3. Step 3: Cross multiply
    21,517x = 32,275.50 × 6,925
  4. Step 4: Simplify right side
    21,517x = 223,507,837.50
  5. Step 5: Solve for x
    x = 223,507,837.50/21,517
  6. Step 6: Final answer
    x = 10,387.50

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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.