Home / 2,564.87-3,847.30-1,005.34

Finding the Fourth Proportional to 2,564.87, 3,847.30 and 1,005.34

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Solution

The fourth proportional to 2,564.87, 3,847.30 and 1,005.34 is: 1,508.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.87 : 3,847.30 = 1,005.34 : x
  2. Step 2: Convert to fraction form
    2,564.87/3,847.30 = 1,005.34/x
  3. Step 3: Cross multiply
    2,564.87x = 3,847.30 × 1,005.34
  4. Step 4: Simplify right side
    2,564.87x = 3,867,828.84
  5. Step 5: Solve for x
    x = 3,867,828.84/2,564.87
  6. Step 6: Final answer
    x = 1,508.00

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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.