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Finding the Fourth Proportional to 9,674.50, 14,512.99 and 2,749.18

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Solution

The fourth proportional to 9,674.50, 14,512.99 and 2,749.18 is: 4,124.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674.50 : 14,512.99 = 2,749.18 : x
  2. Step 2: Convert to fraction form
    9,674.50/14,512.99 = 2,749.18/x
  3. Step 3: Cross multiply
    9,674.50x = 14,512.99 × 2,749.18
  4. Step 4: Simplify right side
    9,674.50x = 39,898,821.85
  5. Step 5: Solve for x
    x = 39,898,821.85/9,674.50
  6. Step 6: Final answer
    x = 4,124.12

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1.5x scale

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.