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Finding the Fourth Proportional to 5,577, 7,697.46 and 3,339.38

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Solution

The fourth proportional to 5,577, 7,697.46 and 3,339.38 is: 4,609.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,577 : 7,697.46 = 3,339.38 : x
  2. Step 2: Convert to fraction form
    5,577/7,697.46 = 3,339.38/x
  3. Step 3: Cross multiply
    5,577x = 7,697.46 × 3,339.38
  4. Step 4: Simplify right side
    5,577x = 25,704,705.49
  5. Step 5: Solve for x
    x = 25,704,705.49/5,577
  6. Step 6: Final answer
    x = 4,609.06

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Half scale
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Double 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.