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Finding the Fourth Proportional to 21,045.82, 31,568.82 and 6,254.88

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Solution

The fourth proportional to 21,045.82, 31,568.82 and 6,254.88 is: 9,382.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,045.82 : 31,568.82 = 6,254.88 : x
  2. Step 2: Convert to fraction form
    21,045.82/31,568.82 = 6,254.88/x
  3. Step 3: Cross multiply
    21,045.82x = 31,568.82 × 6,254.88
  4. Step 4: Simplify right side
    21,045.82x = 197,459,180.84
  5. Step 5: Solve for x
    x = 197,459,180.84/21,045.82
  6. Step 6: Final answer
    x = 9,382.35

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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.