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Finding the Fourth Proportional to 3,787, 5,226.38 and 2,131.32

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Solution

The fourth proportional to 3,787, 5,226.38 and 2,131.32 is: 2,941.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787 : 5,226.38 = 2,131.32 : x
  2. Step 2: Convert to fraction form
    3,787/5,226.38 = 2,131.32/x
  3. Step 3: Cross multiply
    3,787x = 5,226.38 × 2,131.32
  4. Step 4: Simplify right side
    3,787x = 11,139,088.22
  5. Step 5: Solve for x
    x = 11,139,088.22/3,787
  6. Step 6: Final answer
    x = 2,941.40

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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.