Home / 3,107.50-4,661.26-916.40

Finding the Fourth Proportional to 3,107.50, 4,661.26 and 916.40

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Solution

The fourth proportional to 3,107.50, 4,661.26 and 916.40 is: 1,374.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.50 : 4,661.26 = 916.40 : x
  2. Step 2: Convert to fraction form
    3,107.50/4,661.26 = 916.40/x
  3. Step 3: Cross multiply
    3,107.50x = 4,661.26 × 916.40
  4. Step 4: Simplify right side
    3,107.50x = 4,271,578.66
  5. Step 5: Solve for x
    x = 4,271,578.66/3,107.50
  6. Step 6: Final answer
    x = 1,374.60

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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.