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Finding the Fourth Proportional to 10,313.31, 15,438.27 and 6,619.11

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Solution

The fourth proportional to 10,313.31, 15,438.27 and 6,619.11 is: 9,908.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,313.31 : 15,438.27 = 6,619.11 : x
  2. Step 2: Convert to fraction form
    10,313.31/15,438.27 = 6,619.11/x
  3. Step 3: Cross multiply
    10,313.31x = 15,438.27 × 6,619.11
  4. Step 4: Simplify right side
    10,313.31x = 102,187,607.34
  5. Step 5: Solve for x
    x = 102,187,607.34/10,313.31
  6. Step 6: Final answer
    x = 9,908.32

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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.