Home / 2,082.24-2,870.64-1,491.76

Finding the Fourth Proportional to 2,082.24, 2,870.64 and 1,491.76

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Solution

The fourth proportional to 2,082.24, 2,870.64 and 1,491.76 is: 2,056.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.24 : 2,870.64 = 1,491.76 : x
  2. Step 2: Convert to fraction form
    2,082.24/2,870.64 = 1,491.76/x
  3. Step 3: Cross multiply
    2,082.24x = 2,870.64 × 1,491.76
  4. Step 4: Simplify right side
    2,082.24x = 4,282,305.93
  5. Step 5: Solve for x
    x = 4,282,305.93/2,082.24
  6. Step 6: Final answer
    x = 2,056.59

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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.