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Finding the Fourth Proportional to 1,393.10, 1,920.54 and 1,052.18

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Solution

The fourth proportional to 1,393.10, 1,920.54 and 1,052.18 is: 1,450.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.10 : 1,920.54 = 1,052.18 : x
  2. Step 2: Convert to fraction form
    1,393.10/1,920.54 = 1,052.18/x
  3. Step 3: Cross multiply
    1,393.10x = 1,920.54 × 1,052.18
  4. Step 4: Simplify right side
    1,393.10x = 2,020,753.78
  5. Step 5: Solve for x
    x = 2,020,753.78/1,393.10
  6. Step 6: Final answer
    x = 1,450.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.