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Finding the Fourth Proportional to 2,842.94, 3,925.18 and 1,781.12

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Solution

The fourth proportional to 2,842.94, 3,925.18 and 1,781.12 is: 2,459.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.94 : 3,925.18 = 1,781.12 : x
  2. Step 2: Convert to fraction form
    2,842.94/3,925.18 = 1,781.12/x
  3. Step 3: Cross multiply
    2,842.94x = 3,925.18 × 1,781.12
  4. Step 4: Simplify right side
    2,842.94x = 6,991,216.60
  5. Step 5: Solve for x
    x = 6,991,216.60/2,842.94
  6. Step 6: Final answer
    x = 2,459.15

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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.