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Finding the Fourth Proportional to 10,463.99, 14,440.25 and 5,683.89

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Solution

The fourth proportional to 10,463.99, 14,440.25 and 5,683.89 is: 7,843.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,463.99 : 14,440.25 = 5,683.89 : x
  2. Step 2: Convert to fraction form
    10,463.99/14,440.25 = 5,683.89/x
  3. Step 3: Cross multiply
    10,463.99x = 14,440.25 × 5,683.89
  4. Step 4: Simplify right side
    10,463.99x = 82,076,764.15
  5. Step 5: Solve for x
    x = 82,076,764.15/10,463.99
  6. Step 6: Final answer
    x = 7,843.74

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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.