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Finding the Fourth Proportional to 2,698.75, 3,724.28 and 1,871.23

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Solution

The fourth proportional to 2,698.75, 3,724.28 and 1,871.23 is: 2,582.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.75 : 3,724.28 = 1,871.23 : x
  2. Step 2: Convert to fraction form
    2,698.75/3,724.28 = 1,871.23/x
  3. Step 3: Cross multiply
    2,698.75x = 3,724.28 × 1,871.23
  4. Step 4: Simplify right side
    2,698.75x = 6,968,984.46
  5. Step 5: Solve for x
    x = 6,968,984.46/2,698.75
  6. Step 6: Final answer
    x = 2,582.30

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Half scale
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Double scale
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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.