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Finding the Fourth Proportional to 3,817.66, 5,266.11 and 2,825.50

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Solution

The fourth proportional to 3,817.66, 5,266.11 and 2,825.50 is: 3,897.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817.66 : 5,266.11 = 2,825.50 : x
  2. Step 2: Convert to fraction form
    3,817.66/5,266.11 = 2,825.50/x
  3. Step 3: Cross multiply
    3,817.66x = 5,266.11 × 2,825.50
  4. Step 4: Simplify right side
    3,817.66x = 14,879,393.81
  5. Step 5: Solve for x
    x = 14,879,393.81/3,817.66
  6. Step 6: Final answer
    x = 3,897.52

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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.