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Finding the Fourth Proportional to 10,495.74, 15,743.80 and 3,100.34

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Solution

The fourth proportional to 10,495.74, 15,743.80 and 3,100.34 is: 4,650.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,495.74 : 15,743.80 = 3,100.34 : x
  2. Step 2: Convert to fraction form
    10,495.74/15,743.80 = 3,100.34/x
  3. Step 3: Cross multiply
    10,495.74x = 15,743.80 × 3,100.34
  4. Step 4: Simplify right side
    10,495.74x = 48,811,132.89
  5. Step 5: Solve for x
    x = 48,811,132.89/10,495.74
  6. Step 6: Final answer
    x = 4,650.57

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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.