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Finding the Fourth Proportional to 10,315.74, 15,452.94 and 4,761.56

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Solution

The fourth proportional to 10,315.74, 15,452.94 and 4,761.56 is: 7,132.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,315.74 : 15,452.94 = 4,761.56 : x
  2. Step 2: Convert to fraction form
    10,315.74/15,452.94 = 4,761.56/x
  3. Step 3: Cross multiply
    10,315.74x = 15,452.94 × 4,761.56
  4. Step 4: Simplify right side
    10,315.74x = 73,580,100.99
  5. Step 5: Solve for x
    x = 73,580,100.99/10,315.74
  6. Step 6: Final answer
    x = 7,132.80

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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.