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Finding the Fourth Proportional to 1,371.88, 1,894.81 and 929.01

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Solution

The fourth proportional to 1,371.88, 1,894.81 and 929.01 is: 1,283.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371.88 : 1,894.81 = 929.01 : x
  2. Step 2: Convert to fraction form
    1,371.88/1,894.81 = 929.01/x
  3. Step 3: Cross multiply
    1,371.88x = 1,894.81 × 929.01
  4. Step 4: Simplify right side
    1,371.88x = 1,760,297.44
  5. Step 5: Solve for x
    x = 1,760,297.44/1,371.88
  6. Step 6: Final answer
    x = 1,283.13

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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.