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Finding the Fourth Proportional to 2,352.68, 3,246.77 and 1,357.94

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Solution

The fourth proportional to 2,352.68, 3,246.77 and 1,357.94 is: 1,873.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.68 : 3,246.77 = 1,357.94 : x
  2. Step 2: Convert to fraction form
    2,352.68/3,246.77 = 1,357.94/x
  3. Step 3: Cross multiply
    2,352.68x = 3,246.77 × 1,357.94
  4. Step 4: Simplify right side
    2,352.68x = 4,408,895.83
  5. Step 5: Solve for x
    x = 4,408,895.83/2,352.68
  6. Step 6: Final answer
    x = 1,873.99

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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.