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Finding the Fourth Proportional to 21,775.76, 32,664 and 6,193.76

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Solution

The fourth proportional to 21,775.76, 32,664 and 6,193.76 is: 9,290.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,775.76 : 32,664 = 6,193.76 : x
  2. Step 2: Convert to fraction form
    21,775.76/32,664 = 6,193.76/x
  3. Step 3: Cross multiply
    21,775.76x = 32,664 × 6,193.76
  4. Step 4: Simplify right side
    21,775.76x = 202,312,976.64
  5. Step 5: Solve for x
    x = 202,312,976.64/21,775.76
  6. Step 6: Final answer
    x = 9,290.74

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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.