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Finding the Fourth Proportional to 7,102.58, 9,785.22 and 5,609.96

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Solution

The fourth proportional to 7,102.58, 9,785.22 and 5,609.96 is: 7,728.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.58 : 9,785.22 = 5,609.96 : x
  2. Step 2: Convert to fraction form
    7,102.58/9,785.22 = 5,609.96/x
  3. Step 3: Cross multiply
    7,102.58x = 9,785.22 × 5,609.96
  4. Step 4: Simplify right side
    7,102.58x = 54,894,692.79
  5. Step 5: Solve for x
    x = 54,894,692.79/7,102.58
  6. Step 6: Final answer
    x = 7,728.84

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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.