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Finding the Fourth Proportional to 21,797.12, 32,710.40 and 7,947.52

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Solution

The fourth proportional to 21,797.12, 32,710.40 and 7,947.52 is: 11,926.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,797.12 : 32,710.40 = 7,947.52 : x
  2. Step 2: Convert to fraction form
    21,797.12/32,710.40 = 7,947.52/x
  3. Step 3: Cross multiply
    21,797.12x = 32,710.40 × 7,947.52
  4. Step 4: Simplify right side
    21,797.12x = 259,966,558.21
  5. Step 5: Solve for x
    x = 259,966,558.21/21,797.12
  6. Step 6: Final answer
    x = 11,926.65

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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.