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Finding the Fourth Proportional to 7,078.62, 9,770.04 and 4,427.76

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Solution

The fourth proportional to 7,078.62, 9,770.04 and 4,427.76 is: 6,111.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,078.62 : 9,770.04 = 4,427.76 : x
  2. Step 2: Convert to fraction form
    7,078.62/9,770.04 = 4,427.76/x
  3. Step 3: Cross multiply
    7,078.62x = 9,770.04 × 4,427.76
  4. Step 4: Simplify right side
    7,078.62x = 43,259,392.31
  5. Step 5: Solve for x
    x = 43,259,392.31/7,078.62
  6. Step 6: Final answer
    x = 6,111.27

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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.