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Finding the Fourth Proportional to 10,452.49, 15,667.70 and 3,430.67

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Solution

The fourth proportional to 10,452.49, 15,667.70 and 3,430.67 is: 5,142.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,452.49 : 15,667.70 = 3,430.67 : x
  2. Step 2: Convert to fraction form
    10,452.49/15,667.70 = 3,430.67/x
  3. Step 3: Cross multiply
    10,452.49x = 15,667.70 × 3,430.67
  4. Step 4: Simplify right side
    10,452.49x = 53,750,708.36
  5. Step 5: Solve for x
    x = 53,750,708.36/10,452.49
  6. Step 6: Final answer
    x = 5,142.38

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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.