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Finding the Fourth Proportional to 1,722.34, 2,377.20 and 1,024.12

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Solution

The fourth proportional to 1,722.34, 2,377.20 and 1,024.12 is: 1,413.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.34 : 2,377.20 = 1,024.12 : x
  2. Step 2: Convert to fraction form
    1,722.34/2,377.20 = 1,024.12/x
  3. Step 3: Cross multiply
    1,722.34x = 2,377.20 × 1,024.12
  4. Step 4: Simplify right side
    1,722.34x = 2,434,538.06
  5. Step 5: Solve for x
    x = 2,434,538.06/1,722.34
  6. Step 6: Final answer
    x = 1,413.51

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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.