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Finding the Fourth Proportional to 9,984, 14,965.76 and 4,144

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Solution

The fourth proportional to 9,984, 14,965.76 and 4,144 is: 6,211.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,984 : 14,965.76 = 4,144 : x
  2. Step 2: Convert to fraction form
    9,984/14,965.76 = 4,144/x
  3. Step 3: Cross multiply
    9,984x = 14,965.76 × 4,144
  4. Step 4: Simplify right side
    9,984x = 62,018,109.44
  5. Step 5: Solve for x
    x = 62,018,109.44/9,984
  6. Step 6: Final answer
    x = 6,211.75

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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.