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Finding the Fourth Proportional to 3,787.84, 5,674.16 and 3,009.12

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Solution

The fourth proportional to 3,787.84, 5,674.16 and 3,009.12 is: 4,507.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.84 : 5,674.16 = 3,009.12 : x
  2. Step 2: Convert to fraction form
    3,787.84/5,674.16 = 3,009.12/x
  3. Step 3: Cross multiply
    3,787.84x = 5,674.16 × 3,009.12
  4. Step 4: Simplify right side
    3,787.84x = 17,074,228.34
  5. Step 5: Solve for x
    x = 17,074,228.34/3,787.84
  6. Step 6: Final answer
    x = 4,507.64

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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.