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Finding the Fourth Proportional to 2,107.95, 3,155.69 and 1,562.58

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Solution

The fourth proportional to 2,107.95, 3,155.69 and 1,562.58 is: 2,339.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.95 : 3,155.69 = 1,562.58 : x
  2. Step 2: Convert to fraction form
    2,107.95/3,155.69 = 1,562.58/x
  3. Step 3: Cross multiply
    2,107.95x = 3,155.69 × 1,562.58
  4. Step 4: Simplify right side
    2,107.95x = 4,931,010.27
  5. Step 5: Solve for x
    x = 4,931,010.27/2,107.95
  6. Step 6: Final answer
    x = 2,339.24

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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.