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Finding the Fourth Proportional to 2,802.24, 3,866.86 and 1,623.38

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Solution

The fourth proportional to 2,802.24, 3,866.86 and 1,623.38 is: 2,240.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.24 : 3,866.86 = 1,623.38 : x
  2. Step 2: Convert to fraction form
    2,802.24/3,866.86 = 1,623.38/x
  3. Step 3: Cross multiply
    2,802.24x = 3,866.86 × 1,623.38
  4. Step 4: Simplify right side
    2,802.24x = 6,277,388.80
  5. Step 5: Solve for x
    x = 6,277,388.80/2,802.24
  6. Step 6: Final answer
    x = 2,240.13

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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.