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Finding the Fourth Proportional to 7,800.09, 11,695.46 and 3,578.06

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Solution

The fourth proportional to 7,800.09, 11,695.46 and 3,578.06 is: 5,364.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,800.09 : 11,695.46 = 3,578.06 : x
  2. Step 2: Convert to fraction form
    7,800.09/11,695.46 = 3,578.06/x
  3. Step 3: Cross multiply
    7,800.09x = 11,695.46 × 3,578.06
  4. Step 4: Simplify right side
    7,800.09x = 41,847,030.00
  5. Step 5: Solve for x
    x = 41,847,030.00/7,800.09
  6. Step 6: Final answer
    x = 5,364.94

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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.