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Finding the Fourth Proportional to 2,392.57, 3,590.51 and 931.73

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Solution

The fourth proportional to 2,392.57, 3,590.51 and 931.73 is: 1,398.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,392.57 : 3,590.51 = 931.73 : x
  2. Step 2: Convert to fraction form
    2,392.57/3,590.51 = 931.73/x
  3. Step 3: Cross multiply
    2,392.57x = 3,590.51 × 931.73
  4. Step 4: Simplify right side
    2,392.57x = 3,345,385.88
  5. Step 5: Solve for x
    x = 3,345,385.88/2,392.57
  6. Step 6: Final answer
    x = 1,398.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.