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Finding the Fourth Proportional to 4,820.38, 7,230.58 and 1,742.38

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Solution

The fourth proportional to 4,820.38, 7,230.58 and 1,742.38 is: 2,613.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,820.38 : 7,230.58 = 1,742.38 : x
  2. Step 2: Convert to fraction form
    4,820.38/7,230.58 = 1,742.38/x
  3. Step 3: Cross multiply
    4,820.38x = 7,230.58 × 1,742.38
  4. Step 4: Simplify right side
    4,820.38x = 12,598,417.98
  5. Step 5: Solve for x
    x = 12,598,417.98/4,820.38
  6. Step 6: Final answer
    x = 2,613.57

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.