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Finding the Fourth Proportional to 7,313.66, 10,975.38 and 3,418.40

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Solution

The fourth proportional to 7,313.66, 10,975.38 and 3,418.40 is: 5,129.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,313.66 : 10,975.38 = 3,418.40 : x
  2. Step 2: Convert to fraction form
    7,313.66/10,975.38 = 3,418.40/x
  3. Step 3: Cross multiply
    7,313.66x = 10,975.38 × 3,418.40
  4. Step 4: Simplify right side
    7,313.66x = 37,518,238.99
  5. Step 5: Solve for x
    x = 37,518,238.99/7,313.66
  6. Step 6: Final answer
    x = 5,129.89

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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.