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Finding the Fourth Proportional to 10,687.95, 14,747.06 and 6,209.41

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Solution

The fourth proportional to 10,687.95, 14,747.06 and 6,209.41 is: 8,567.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,687.95 : 14,747.06 = 6,209.41 : x
  2. Step 2: Convert to fraction form
    10,687.95/14,747.06 = 6,209.41/x
  3. Step 3: Cross multiply
    10,687.95x = 14,747.06 × 6,209.41
  4. Step 4: Simplify right side
    10,687.95x = 91,570,548.14
  5. Step 5: Solve for x
    x = 91,570,548.14/10,687.95
  6. Step 6: Final answer
    x = 8,567.64

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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.