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Finding the Fourth Proportional to 2,225.70, 3,071.19 and 1,230.84

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Solution

The fourth proportional to 2,225.70, 3,071.19 and 1,230.84 is: 1,698.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,225.70 : 3,071.19 = 1,230.84 : x
  2. Step 2: Convert to fraction form
    2,225.70/3,071.19 = 1,230.84/x
  3. Step 3: Cross multiply
    2,225.70x = 3,071.19 × 1,230.84
  4. Step 4: Simplify right side
    2,225.70x = 3,780,143.50
  5. Step 5: Solve for x
    x = 3,780,143.50/2,225.70
  6. Step 6: Final answer
    x = 1,698.41

Related Problems

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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.