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Finding the Fourth Proportional to 9,480.80, 14,222.64 and 4,549.52

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Solution

The fourth proportional to 9,480.80, 14,222.64 and 4,549.52 is: 6,824.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,480.80 : 14,222.64 = 4,549.52 : x
  2. Step 2: Convert to fraction form
    9,480.80/14,222.64 = 4,549.52/x
  3. Step 3: Cross multiply
    9,480.80x = 14,222.64 × 4,549.52
  4. Step 4: Simplify right side
    9,480.80x = 64,706,185.13
  5. Step 5: Solve for x
    x = 64,706,185.13/9,480.80
  6. Step 6: Final answer
    x = 6,824.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.