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Finding the Fourth Proportional to 1,388.24, 1,916.08 and 946.31

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Solution

The fourth proportional to 1,388.24, 1,916.08 and 946.31 is: 1,306.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.24 : 1,916.08 = 946.31 : x
  2. Step 2: Convert to fraction form
    1,388.24/1,916.08 = 946.31/x
  3. Step 3: Cross multiply
    1,388.24x = 1,916.08 × 946.31
  4. Step 4: Simplify right side
    1,388.24x = 1,813,208.09
  5. Step 5: Solve for x
    x = 1,813,208.09/1,388.24
  6. Step 6: Final answer
    x = 1,306.12

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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.