Home / 2,823.35-3,896.01-1,564.40

Finding the Fourth Proportional to 2,823.35, 3,896.01 and 1,564.40

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Solution

The fourth proportional to 2,823.35, 3,896.01 and 1,564.40 is: 2,158.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.35 : 3,896.01 = 1,564.40 : x
  2. Step 2: Convert to fraction form
    2,823.35/3,896.01 = 1,564.40/x
  3. Step 3: Cross multiply
    2,823.35x = 3,896.01 × 1,564.40
  4. Step 4: Simplify right side
    2,823.35x = 6,094,898.56
  5. Step 5: Solve for x
    x = 6,094,898.56/2,823.35
  6. Step 6: Final answer
    x = 2,158.75

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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.