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Finding the Fourth Proportional to 2,580.66, 3,870.99 and 2,010.42

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Solution

The fourth proportional to 2,580.66, 3,870.99 and 2,010.42 is: 3,015.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,580.66 : 3,870.99 = 2,010.42 : x
  2. Step 2: Convert to fraction form
    2,580.66/3,870.99 = 2,010.42/x
  3. Step 3: Cross multiply
    2,580.66x = 3,870.99 × 2,010.42
  4. Step 4: Simplify right side
    2,580.66x = 7,782,315.72
  5. Step 5: Solve for x
    x = 7,782,315.72/2,580.66
  6. Step 6: Final answer
    x = 3,015.63

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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.