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Finding the Fourth Proportional to 1,946.81, 2,916.77 and 1,328.51

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Solution

The fourth proportional to 1,946.81, 2,916.77 and 1,328.51 is: 1,990.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.81 : 2,916.77 = 1,328.51 : x
  2. Step 2: Convert to fraction form
    1,946.81/2,916.77 = 1,328.51/x
  3. Step 3: Cross multiply
    1,946.81x = 2,916.77 × 1,328.51
  4. Step 4: Simplify right side
    1,946.81x = 3,874,958.11
  5. Step 5: Solve for x
    x = 3,874,958.11/1,946.81
  6. Step 6: Final answer
    x = 1,990.41

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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.