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Finding the Fourth Proportional to 2,318.96, 3,477.47 and 984.22

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Solution

The fourth proportional to 2,318.96, 3,477.47 and 984.22 is: 1,475.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,318.96 : 3,477.47 = 984.22 : x
  2. Step 2: Convert to fraction form
    2,318.96/3,477.47 = 984.22/x
  3. Step 3: Cross multiply
    2,318.96x = 3,477.47 × 984.22
  4. Step 4: Simplify right side
    2,318.96x = 3,422,581.91
  5. Step 5: Solve for x
    x = 3,422,581.91/2,318.96
  6. Step 6: Final answer
    x = 1,475.91

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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.