Home / 3,107.43-4,661.16-916.35

Finding the Fourth Proportional to 3,107.43, 4,661.16 and 916.35

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Solution

The fourth proportional to 3,107.43, 4,661.16 and 916.35 is: 1,374.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.43 : 4,661.16 = 916.35 : x
  2. Step 2: Convert to fraction form
    3,107.43/4,661.16 = 916.35/x
  3. Step 3: Cross multiply
    3,107.43x = 4,661.16 × 916.35
  4. Step 4: Simplify right side
    3,107.43x = 4,271,253.97
  5. Step 5: Solve for x
    x = 4,271,253.97/3,107.43
  6. Step 6: Final answer
    x = 1,374.53

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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.