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Finding the Fourth Proportional to 21,278.45, 31,922.78 and 6,486.45

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Solution

The fourth proportional to 21,278.45, 31,922.78 and 6,486.45 is: 9,731.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,278.45 : 31,922.78 = 6,486.45 : x
  2. Step 2: Convert to fraction form
    21,278.45/31,922.78 = 6,486.45/x
  3. Step 3: Cross multiply
    21,278.45x = 31,922.78 × 6,486.45
  4. Step 4: Simplify right side
    21,278.45x = 207,065,483.90
  5. Step 5: Solve for x
    x = 207,065,483.90/21,278.45
  6. Step 6: Final answer
    x = 9,731.23

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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.