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Finding the Fourth Proportional to 2,225.74, 3,071.51 and 1,231

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Solution

The fourth proportional to 2,225.74, 3,071.51 and 1,231 is: 1,698.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,225.74 : 3,071.51 = 1,231 : x
  2. Step 2: Convert to fraction form
    2,225.74/3,071.51 = 1,231/x
  3. Step 3: Cross multiply
    2,225.74x = 3,071.51 × 1,231
  4. Step 4: Simplify right side
    2,225.74x = 3,781,028.81
  5. Step 5: Solve for x
    x = 3,781,028.81/2,225.74
  6. Step 6: Final answer
    x = 1,698.77

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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.