Home / 2,984.56-4,120.32-2,287.12

Finding the Fourth Proportional to 2,984.56, 4,120.32 and 2,287.12

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Solution

The fourth proportional to 2,984.56, 4,120.32 and 2,287.12 is: 3,157.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.56 : 4,120.32 = 2,287.12 : x
  2. Step 2: Convert to fraction form
    2,984.56/4,120.32 = 2,287.12/x
  3. Step 3: Cross multiply
    2,984.56x = 4,120.32 × 2,287.12
  4. Step 4: Simplify right side
    2,984.56x = 9,423,666.28
  5. Step 5: Solve for x
    x = 9,423,666.28/2,984.56
  6. Step 6: Final answer
    x = 3,157.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.