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Finding the Fourth Proportional to 3,700.84, 5,107.68 and 2,378.32

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Solution

The fourth proportional to 3,700.84, 5,107.68 and 2,378.32 is: 3,282.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,700.84 : 5,107.68 = 2,378.32 : x
  2. Step 2: Convert to fraction form
    3,700.84/5,107.68 = 2,378.32/x
  3. Step 3: Cross multiply
    3,700.84x = 5,107.68 × 2,378.32
  4. Step 4: Simplify right side
    3,700.84x = 12,147,697.50
  5. Step 5: Solve for x
    x = 12,147,697.50/3,700.84
  6. Step 6: Final answer
    x = 3,282.42

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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.