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Finding the Fourth Proportional to 7,805.39, 10,770.69 and 4,448.12

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Solution

The fourth proportional to 7,805.39, 10,770.69 and 4,448.12 is: 6,137.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,805.39 : 10,770.69 = 4,448.12 : x
  2. Step 2: Convert to fraction form
    7,805.39/10,770.69 = 4,448.12/x
  3. Step 3: Cross multiply
    7,805.39x = 10,770.69 × 4,448.12
  4. Step 4: Simplify right side
    7,805.39x = 47,909,267.75
  5. Step 5: Solve for x
    x = 47,909,267.75/7,805.39
  6. Step 6: Final answer
    x = 6,137.98

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Half scale
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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.