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Finding the Fourth Proportional to 1,372.98, 1,895.22 and 930

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Solution

The fourth proportional to 1,372.98, 1,895.22 and 930 is: 1,283.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,372.98 : 1,895.22 = 930 : x
  2. Step 2: Convert to fraction form
    1,372.98/1,895.22 = 930/x
  3. Step 3: Cross multiply
    1,372.98x = 1,895.22 × 930
  4. Step 4: Simplify right side
    1,372.98x = 1,762,554.60
  5. Step 5: Solve for x
    x = 1,762,554.60/1,372.98
  6. Step 6: Final answer
    x = 1,283.74

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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.