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Finding the Fourth Proportional to 21,507.75, 32,262.84 and 7,656.75

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Solution

The fourth proportional to 21,507.75, 32,262.84 and 7,656.75 is: 11,485.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,507.75 : 32,262.84 = 7,656.75 : x
  2. Step 2: Convert to fraction form
    21,507.75/32,262.84 = 7,656.75/x
  3. Step 3: Cross multiply
    21,507.75x = 32,262.84 × 7,656.75
  4. Step 4: Simplify right side
    21,507.75x = 247,028,500.17
  5. Step 5: Solve for x
    x = 247,028,500.17/21,507.75
  6. Step 6: Final answer
    x = 11,485.56

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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.