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Finding the Fourth Proportional to 5,309.18, 7,324.62 and 3,420.62

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Solution

The fourth proportional to 5,309.18, 7,324.62 and 3,420.62 is: 4,719.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.18 : 7,324.62 = 3,420.62 : x
  2. Step 2: Convert to fraction form
    5,309.18/7,324.62 = 3,420.62/x
  3. Step 3: Cross multiply
    5,309.18x = 7,324.62 × 3,420.62
  4. Step 4: Simplify right side
    5,309.18x = 25,054,741.66
  5. Step 5: Solve for x
    x = 25,054,741.66/5,309.18
  6. Step 6: Final answer
    x = 4,719.14

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1.5x scale

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.