Home / 2,082-2,875.60-1,382.16

Finding the Fourth Proportional to 2,082, 2,875.60 and 1,382.16

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Solution

The fourth proportional to 2,082, 2,875.60 and 1,382.16 is: 1,909.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082 : 2,875.60 = 1,382.16 : x
  2. Step 2: Convert to fraction form
    2,082/2,875.60 = 1,382.16/x
  3. Step 3: Cross multiply
    2,082x = 2,875.60 × 1,382.16
  4. Step 4: Simplify right side
    2,082x = 3,974,539.30
  5. Step 5: Solve for x
    x = 3,974,539.30/2,082
  6. Step 6: Final answer
    x = 1,909.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.