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Finding the Fourth Proportional to 10,689.06, 14,751 and 6,213

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Solution

The fourth proportional to 10,689.06, 14,751 and 6,213 is: 8,574.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,689.06 : 14,751 = 6,213 : x
  2. Step 2: Convert to fraction form
    10,689.06/14,751 = 6,213/x
  3. Step 3: Cross multiply
    10,689.06x = 14,751 × 6,213
  4. Step 4: Simplify right side
    10,689.06x = 91,647,963
  5. Step 5: Solve for x
    x = 91,647,963/10,689.06
  6. Step 6: Final answer
    x = 8,574.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.