Home / 1,830.02-2,745.93-856.19

Finding the Fourth Proportional to 1,830.02, 2,745.93 and 856.19

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Solution

The fourth proportional to 1,830.02, 2,745.93 and 856.19 is: 1,284.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.02 : 2,745.93 = 856.19 : x
  2. Step 2: Convert to fraction form
    1,830.02/2,745.93 = 856.19/x
  3. Step 3: Cross multiply
    1,830.02x = 2,745.93 × 856.19
  4. Step 4: Simplify right side
    1,830.02x = 2,351,037.81
  5. Step 5: Solve for x
    x = 2,351,037.81/1,830.02
  6. Step 6: Final answer
    x = 1,284.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.