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Finding the Fourth Proportional to 9,313.70, 13,970.52 and 2,739.87

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Solution

The fourth proportional to 9,313.70, 13,970.52 and 2,739.87 is: 4,109.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,313.70 : 13,970.52 = 2,739.87 : x
  2. Step 2: Convert to fraction form
    9,313.70/13,970.52 = 2,739.87/x
  3. Step 3: Cross multiply
    9,313.70x = 13,970.52 × 2,739.87
  4. Step 4: Simplify right side
    9,313.70x = 38,277,408.63
  5. Step 5: Solve for x
    x = 38,277,408.63/9,313.70
  6. Step 6: Final answer
    x = 4,109.80

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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.