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Finding the Fourth Proportional to 10,604.95, 15,884.03 and 6,643.31

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Solution

The fourth proportional to 10,604.95, 15,884.03 and 6,643.31 is: 9,950.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,604.95 : 15,884.03 = 6,643.31 : x
  2. Step 2: Convert to fraction form
    10,604.95/15,884.03 = 6,643.31/x
  3. Step 3: Cross multiply
    10,604.95x = 15,884.03 × 6,643.31
  4. Step 4: Simplify right side
    10,604.95x = 105,522,472.53
  5. Step 5: Solve for x
    x = 105,522,472.53/10,604.95
  6. Step 6: Final answer
    x = 9,950.31

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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.