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Finding the Fourth Proportional to 2,618.10, 3,670.20 and 2,618.10

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Solution

The fourth proportional to 2,618.10, 3,670.20 and 2,618.10 is: 3,670.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,618.10 : 3,670.20 = 2,618.10 : x
  2. Step 2: Convert to fraction form
    2,618.10/3,670.20 = 2,618.10/x
  3. Step 3: Cross multiply
    2,618.10x = 3,670.20 × 2,618.10
  4. Step 4: Simplify right side
    2,618.10x = 9,608,950.62
  5. Step 5: Solve for x
    x = 9,608,950.62/2,618.10
  6. Step 6: Final answer
    x = 3,670.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.