Home / 1,728.25-2,384.91-942.29

Finding the Fourth Proportional to 1,728.25, 2,384.91 and 942.29

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Solution

The fourth proportional to 1,728.25, 2,384.91 and 942.29 is: 1,300.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.25 : 2,384.91 = 942.29 : x
  2. Step 2: Convert to fraction form
    1,728.25/2,384.91 = 942.29/x
  3. Step 3: Cross multiply
    1,728.25x = 2,384.91 × 942.29
  4. Step 4: Simplify right side
    1,728.25x = 2,247,272.13
  5. Step 5: Solve for x
    x = 2,247,272.13/1,728.25
  6. Step 6: Final answer
    x = 1,300.32

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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.