Home / 2,119.36-3,176.16-962.40

Finding the Fourth Proportional to 2,119.36, 3,176.16 and 962.40

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Solution

The fourth proportional to 2,119.36, 3,176.16 and 962.40 is: 1,442.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.36 : 3,176.16 = 962.40 : x
  2. Step 2: Convert to fraction form
    2,119.36/3,176.16 = 962.40/x
  3. Step 3: Cross multiply
    2,119.36x = 3,176.16 × 962.40
  4. Step 4: Simplify right side
    2,119.36x = 3,056,736.38
  5. Step 5: Solve for x
    x = 3,056,736.38/2,119.36
  6. Step 6: Final answer
    x = 1,442.29

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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.