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Finding the Fourth Proportional to 21,889.92, 32,830.56 and 6,303.84

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Solution

The fourth proportional to 21,889.92, 32,830.56 and 6,303.84 is: 9,454.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,889.92 : 32,830.56 = 6,303.84 : x
  2. Step 2: Convert to fraction form
    21,889.92/32,830.56 = 6,303.84/x
  3. Step 3: Cross multiply
    21,889.92x = 32,830.56 × 6,303.84
  4. Step 4: Simplify right side
    21,889.92x = 206,958,597.35
  5. Step 5: Solve for x
    x = 206,958,597.35/21,889.92
  6. Step 6: Final answer
    x = 9,454.52

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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.