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Finding the Fourth Proportional to 3,603.88, 5,406.39 and 971.49

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Solution

The fourth proportional to 3,603.88, 5,406.39 and 971.49 is: 1,457.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,603.88 : 5,406.39 = 971.49 : x
  2. Step 2: Convert to fraction form
    3,603.88/5,406.39 = 971.49/x
  3. Step 3: Cross multiply
    3,603.88x = 5,406.39 × 971.49
  4. Step 4: Simplify right side
    3,603.88x = 5,252,221.93
  5. Step 5: Solve for x
    x = 5,252,221.93/3,603.88
  6. Step 6: Final answer
    x = 1,457.38

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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.