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Finding the Fourth Proportional to 9,313.70, 13,967.79 and 2,738.31

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Solution

The fourth proportional to 9,313.70, 13,967.79 and 2,738.31 is: 4,106.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,313.70 : 13,967.79 = 2,738.31 : x
  2. Step 2: Convert to fraction form
    9,313.70/13,967.79 = 2,738.31/x
  3. Step 3: Cross multiply
    9,313.70x = 13,967.79 × 2,738.31
  4. Step 4: Simplify right side
    9,313.70x = 38,248,139.03
  5. Step 5: Solve for x
    x = 38,248,139.03/9,313.70
  6. Step 6: Final answer
    x = 4,106.66

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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.