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Finding the Fourth Proportional to 3,860.96, 5,329.40 and 2,447

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Solution

The fourth proportional to 3,860.96, 5,329.40 and 2,447 is: 3,377.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,860.96 : 5,329.40 = 2,447 : x
  2. Step 2: Convert to fraction form
    3,860.96/5,329.40 = 2,447/x
  3. Step 3: Cross multiply
    3,860.96x = 5,329.40 × 2,447
  4. Step 4: Simplify right side
    3,860.96x = 13,041,041.80
  5. Step 5: Solve for x
    x = 13,041,041.80/3,860.96
  6. Step 6: Final answer
    x = 3,377.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.