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Finding the Fourth Proportional to 1,946.31, 2,916.02 and 1,328.01

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Solution

The fourth proportional to 1,946.31, 2,916.02 and 1,328.01 is: 1,989.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.31 : 2,916.02 = 1,328.01 : x
  2. Step 2: Convert to fraction form
    1,946.31/2,916.02 = 1,328.01/x
  3. Step 3: Cross multiply
    1,946.31x = 2,916.02 × 1,328.01
  4. Step 4: Simplify right side
    1,946.31x = 3,872,497.08
  5. Step 5: Solve for x
    x = 3,872,497.08/1,946.31
  6. Step 6: Final answer
    x = 1,989.66

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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.