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Finding the Fourth Proportional to 7,804.70, 10,772.61 and 4,449.28

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Solution

The fourth proportional to 7,804.70, 10,772.61 and 4,449.28 is: 6,141.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.70 : 10,772.61 = 4,449.28 : x
  2. Step 2: Convert to fraction form
    7,804.70/10,772.61 = 4,449.28/x
  3. Step 3: Cross multiply
    7,804.70x = 10,772.61 × 4,449.28
  4. Step 4: Simplify right side
    7,804.70x = 47,930,358.22
  5. Step 5: Solve for x
    x = 47,930,358.22/7,804.70
  6. Step 6: Final answer
    x = 6,141.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.