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Finding the Fourth Proportional to 3,903.33, 5,854.93 and 981.64

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Solution

The fourth proportional to 3,903.33, 5,854.93 and 981.64 is: 1,472.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,903.33 : 5,854.93 = 981.64 : x
  2. Step 2: Convert to fraction form
    3,903.33/5,854.93 = 981.64/x
  3. Step 3: Cross multiply
    3,903.33x = 5,854.93 × 981.64
  4. Step 4: Simplify right side
    3,903.33x = 5,747,433.49
  5. Step 5: Solve for x
    x = 5,747,433.49/3,903.33
  6. Step 6: Final answer
    x = 1,472.44

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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.