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Finding the Fourth Proportional to 9,836.70, 14,755.15 and 7,874.80

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Solution

The fourth proportional to 9,836.70, 14,755.15 and 7,874.80 is: 11,812.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,836.70 : 14,755.15 = 7,874.80 : x
  2. Step 2: Convert to fraction form
    9,836.70/14,755.15 = 7,874.80/x
  3. Step 3: Cross multiply
    9,836.70x = 14,755.15 × 7,874.80
  4. Step 4: Simplify right side
    9,836.70x = 116,193,828.18
  5. Step 5: Solve for x
    x = 116,193,828.18/9,836.70
  6. Step 6: Final answer
    x = 11,812.28

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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.