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Finding the Fourth Proportional to 10,450.53, 15,673.98 and 4,123.72

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Solution

The fourth proportional to 10,450.53, 15,673.98 and 4,123.72 is: 6,184.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,450.53 : 15,673.98 = 4,123.72 : x
  2. Step 2: Convert to fraction form
    10,450.53/15,673.98 = 4,123.72/x
  3. Step 3: Cross multiply
    10,450.53x = 15,673.98 × 4,123.72
  4. Step 4: Simplify right side
    10,450.53x = 64,635,104.81
  5. Step 5: Solve for x
    x = 64,635,104.81/10,450.53
  6. Step 6: Final answer
    x = 6,184.86

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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.