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Finding the Fourth Proportional to 2,586.97, 3,880.64 and 856.81

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Solution

The fourth proportional to 2,586.97, 3,880.64 and 856.81 is: 1,285.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586.97 : 3,880.64 = 856.81 : x
  2. Step 2: Convert to fraction form
    2,586.97/3,880.64 = 856.81/x
  3. Step 3: Cross multiply
    2,586.97x = 3,880.64 × 856.81
  4. Step 4: Simplify right side
    2,586.97x = 3,324,966.87
  5. Step 5: Solve for x
    x = 3,324,966.87/2,586.97
  6. Step 6: Final answer
    x = 1,285.27

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1.5x scale

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.