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Finding the Fourth Proportional to 1,948.82, 2,926.31 and 1,127.67

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Solution

The fourth proportional to 1,948.82, 2,926.31 and 1,127.67 is: 1,693.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948.82 : 2,926.31 = 1,127.67 : x
  2. Step 2: Convert to fraction form
    1,948.82/2,926.31 = 1,127.67/x
  3. Step 3: Cross multiply
    1,948.82x = 2,926.31 × 1,127.67
  4. Step 4: Simplify right side
    1,948.82x = 3,299,915.81
  5. Step 5: Solve for x
    x = 3,299,915.81/1,948.82
  6. Step 6: Final answer
    x = 1,693.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.