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Finding the Fourth Proportional to 3,107.84, 4,662.20 and 916.72

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Solution

The fourth proportional to 3,107.84, 4,662.20 and 916.72 is: 1,375.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.84 : 4,662.20 = 916.72 : x
  2. Step 2: Convert to fraction form
    3,107.84/4,662.20 = 916.72/x
  3. Step 3: Cross multiply
    3,107.84x = 4,662.20 × 916.72
  4. Step 4: Simplify right side
    3,107.84x = 4,273,931.98
  5. Step 5: Solve for x
    x = 4,273,931.98/3,107.84
  6. Step 6: Final answer
    x = 1,375.21

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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.