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Finding the Fourth Proportional to 3,111.82, 4,294.32 and 1,714.60

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Solution

The fourth proportional to 3,111.82, 4,294.32 and 1,714.60 is: 2,366.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111.82 : 4,294.32 = 1,714.60 : x
  2. Step 2: Convert to fraction form
    3,111.82/4,294.32 = 1,714.60/x
  3. Step 3: Cross multiply
    3,111.82x = 4,294.32 × 1,714.60
  4. Step 4: Simplify right side
    3,111.82x = 7,363,041.07
  5. Step 5: Solve for x
    x = 7,363,041.07/3,111.82
  6. Step 6: Final answer
    x = 2,366.15

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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.