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Finding the Fourth Proportional to 10,734, 14,812.96 and 6,260.84

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Solution

The fourth proportional to 10,734, 14,812.96 and 6,260.84 is: 8,639.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,734 : 14,812.96 = 6,260.84 : x
  2. Step 2: Convert to fraction form
    10,734/14,812.96 = 6,260.84/x
  3. Step 3: Cross multiply
    10,734x = 14,812.96 × 6,260.84
  4. Step 4: Simplify right side
    10,734x = 92,741,572.49
  5. Step 5: Solve for x
    x = 92,741,572.49/10,734
  6. Step 6: Final answer
    x = 8,639.98

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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.