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Finding the Fourth Proportional to 10,490.63, 15,731.09 and 3,912.08

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Solution

The fourth proportional to 10,490.63, 15,731.09 and 3,912.08 is: 5,866.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,490.63 : 15,731.09 = 3,912.08 : x
  2. Step 2: Convert to fraction form
    10,490.63/15,731.09 = 3,912.08/x
  3. Step 3: Cross multiply
    10,490.63x = 15,731.09 × 3,912.08
  4. Step 4: Simplify right side
    10,490.63x = 61,541,263.01
  5. Step 5: Solve for x
    x = 61,541,263.01/10,490.63
  6. Step 6: Final answer
    x = 5,866.31

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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.