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Finding the Fourth Proportional to 9,811, 14,708.30 and 4,549.77

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Solution

The fourth proportional to 9,811, 14,708.30 and 4,549.77 is: 6,820.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811 : 14,708.30 = 4,549.77 : x
  2. Step 2: Convert to fraction form
    9,811/14,708.30 = 4,549.77/x
  3. Step 3: Cross multiply
    9,811x = 14,708.30 × 4,549.77
  4. Step 4: Simplify right side
    9,811x = 66,919,382.09
  5. Step 5: Solve for x
    x = 66,919,382.09/9,811
  6. Step 6: Final answer
    x = 6,820.85

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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.