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Finding the Fourth Proportional to 5,609, 7,740.96 and 4,190.22

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Solution

The fourth proportional to 5,609, 7,740.96 and 4,190.22 is: 5,782.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,609 : 7,740.96 = 4,190.22 : x
  2. Step 2: Convert to fraction form
    5,609/7,740.96 = 4,190.22/x
  3. Step 3: Cross multiply
    5,609x = 7,740.96 × 4,190.22
  4. Step 4: Simplify right side
    5,609x = 32,436,325.41
  5. Step 5: Solve for x
    x = 32,436,325.41/5,609
  6. Step 6: Final answer
    x = 5,782.91

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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.