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Finding the Fourth Proportional to 2,784.59, 3,842.62 and 1,525.71

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Solution

The fourth proportional to 2,784.59, 3,842.62 and 1,525.71 is: 2,105.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.59 : 3,842.62 = 1,525.71 : x
  2. Step 2: Convert to fraction form
    2,784.59/3,842.62 = 1,525.71/x
  3. Step 3: Cross multiply
    2,784.59x = 3,842.62 × 1,525.71
  4. Step 4: Simplify right side
    2,784.59x = 5,862,719.95
  5. Step 5: Solve for x
    x = 5,862,719.95/2,784.59
  6. Step 6: Final answer
    x = 2,105.42

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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.