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Finding the Fourth Proportional to 5,163.74, 7,746.15 and 3,420.08

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Solution

The fourth proportional to 5,163.74, 7,746.15 and 3,420.08 is: 5,130.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,163.74 : 7,746.15 = 3,420.08 : x
  2. Step 2: Convert to fraction form
    5,163.74/7,746.15 = 3,420.08/x
  3. Step 3: Cross multiply
    5,163.74x = 7,746.15 × 3,420.08
  4. Step 4: Simplify right side
    5,163.74x = 26,492,452.69
  5. Step 5: Solve for x
    x = 26,492,452.69/5,163.74
  6. Step 6: Final answer
    x = 5,130.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.