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Finding the Fourth Proportional to 3,267.21, 4,900.77 and 958.71

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Solution

The fourth proportional to 3,267.21, 4,900.77 and 958.71 is: 1,438.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,267.21 : 4,900.77 = 958.71 : x
  2. Step 2: Convert to fraction form
    3,267.21/4,900.77 = 958.71/x
  3. Step 3: Cross multiply
    3,267.21x = 4,900.77 × 958.71
  4. Step 4: Simplify right side
    3,267.21x = 4,698,417.21
  5. Step 5: Solve for x
    x = 4,698,417.21/3,267.21
  6. Step 6: Final answer
    x = 1,438.05

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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.