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Finding the Fourth Proportional to 2,457.42, 3,684.74 and 2,165.58

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Solution

The fourth proportional to 2,457.42, 3,684.74 and 2,165.58 is: 3,247.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.42 : 3,684.74 = 2,165.58 : x
  2. Step 2: Convert to fraction form
    2,457.42/3,684.74 = 2,165.58/x
  3. Step 3: Cross multiply
    2,457.42x = 3,684.74 × 2,165.58
  4. Step 4: Simplify right side
    2,457.42x = 7,979,599.25
  5. Step 5: Solve for x
    x = 7,979,599.25/2,457.42
  6. Step 6: Final answer
    x = 3,247.15

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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.