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Finding the Fourth Proportional to 21,219, 31,833.06 and 6,429.07

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Solution

The fourth proportional to 21,219, 31,833.06 and 6,429.07 is: 9,644.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,219 : 31,833.06 = 6,429.07 : x
  2. Step 2: Convert to fraction form
    21,219/31,833.06 = 6,429.07/x
  3. Step 3: Cross multiply
    21,219x = 31,833.06 × 6,429.07
  4. Step 4: Simplify right side
    21,219x = 204,656,971.05
  5. Step 5: Solve for x
    x = 204,656,971.05/21,219
  6. Step 6: Final answer
    x = 9,644.99

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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.