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Finding the Fourth Proportional to 10,480.50, 14,463.09 and 5,765.22

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Solution

The fourth proportional to 10,480.50, 14,463.09 and 5,765.22 is: 7,956.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,480.50 : 14,463.09 = 5,765.22 : x
  2. Step 2: Convert to fraction form
    10,480.50/14,463.09 = 5,765.22/x
  3. Step 3: Cross multiply
    10,480.50x = 14,463.09 × 5,765.22
  4. Step 4: Simplify right side
    10,480.50x = 83,382,895.73
  5. Step 5: Solve for x
    x = 83,382,895.73/10,480.50
  6. Step 6: Final answer
    x = 7,956.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.