Home / 2,082.02-2,869.84-1,409.61

Finding the Fourth Proportional to 2,082.02, 2,869.84 and 1,409.61

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Solution

The fourth proportional to 2,082.02, 2,869.84 and 1,409.61 is: 1,943.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.02 : 2,869.84 = 1,409.61 : x
  2. Step 2: Convert to fraction form
    2,082.02/2,869.84 = 1,409.61/x
  3. Step 3: Cross multiply
    2,082.02x = 2,869.84 × 1,409.61
  4. Step 4: Simplify right side
    2,082.02x = 4,045,358.69
  5. Step 5: Solve for x
    x = 4,045,358.69/2,082.02
  6. Step 6: Final answer
    x = 1,943.00

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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.