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Finding the Fourth Proportional to 1,393.63, 1,920.98 and 1,112.96

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Solution

The fourth proportional to 1,393.63, 1,920.98 and 1,112.96 is: 1,534.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.63 : 1,920.98 = 1,112.96 : x
  2. Step 2: Convert to fraction form
    1,393.63/1,920.98 = 1,112.96/x
  3. Step 3: Cross multiply
    1,393.63x = 1,920.98 × 1,112.96
  4. Step 4: Simplify right side
    1,393.63x = 2,137,981.49
  5. Step 5: Solve for x
    x = 2,137,981.49/1,393.63
  6. Step 6: Final answer
    x = 1,534.11

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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.