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Finding the Fourth Proportional to 21,201.67, 31,804.07 and 6,411.78

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Solution

The fourth proportional to 21,201.67, 31,804.07 and 6,411.78 is: 9,618.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,201.67 : 31,804.07 = 6,411.78 : x
  2. Step 2: Convert to fraction form
    21,201.67/31,804.07 = 6,411.78/x
  3. Step 3: Cross multiply
    21,201.67x = 31,804.07 × 6,411.78
  4. Step 4: Simplify right side
    21,201.67x = 203,920,775.37
  5. Step 5: Solve for x
    x = 203,920,775.37/21,201.67
  6. Step 6: Final answer
    x = 9,618.14

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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.