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Finding the Fourth Proportional to 9,755.92, 14,599.86 and 7,980.40

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Solution

The fourth proportional to 9,755.92, 14,599.86 and 7,980.40 is: 11,942.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,755.92 : 14,599.86 = 7,980.40 : x
  2. Step 2: Convert to fraction form
    9,755.92/14,599.86 = 7,980.40/x
  3. Step 3: Cross multiply
    9,755.92x = 14,599.86 × 7,980.40
  4. Step 4: Simplify right side
    9,755.92x = 116,512,722.74
  5. Step 5: Solve for x
    x = 116,512,722.74/9,755.92
  6. Step 6: Final answer
    x = 11,942.77

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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.