Home / 3,107.40-4,661.13-916.17

Finding the Fourth Proportional to 3,107.40, 4,661.13 and 916.17

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Solution

The fourth proportional to 3,107.40, 4,661.13 and 916.17 is: 1,374.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.40 : 4,661.13 = 916.17 : x
  2. Step 2: Convert to fraction form
    3,107.40/4,661.13 = 916.17/x
  3. Step 3: Cross multiply
    3,107.40x = 4,661.13 × 916.17
  4. Step 4: Simplify right side
    3,107.40x = 4,270,364.17
  5. Step 5: Solve for x
    x = 4,270,364.17/3,107.40
  6. Step 6: Final answer
    x = 1,374.26

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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.