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Finding the Fourth Proportional to 9,894.20, 14,834.10 and 4,047.80

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Solution

The fourth proportional to 9,894.20, 14,834.10 and 4,047.80 is: 6,068.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.20 : 14,834.10 = 4,047.80 : x
  2. Step 2: Convert to fraction form
    9,894.20/14,834.10 = 4,047.80/x
  3. Step 3: Cross multiply
    9,894.20x = 14,834.10 × 4,047.80
  4. Step 4: Simplify right side
    9,894.20x = 60,045,469.98
  5. Step 5: Solve for x
    x = 60,045,469.98/9,894.20
  6. Step 6: Final answer
    x = 6,068.75

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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.