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Finding the Fourth Proportional to 3,272.76, 4,909.98 and 964.28

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Solution

The fourth proportional to 3,272.76, 4,909.98 and 964.28 is: 1,446.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,272.76 : 4,909.98 = 964.28 : x
  2. Step 2: Convert to fraction form
    3,272.76/4,909.98 = 964.28/x
  3. Step 3: Cross multiply
    3,272.76x = 4,909.98 × 964.28
  4. Step 4: Simplify right side
    3,272.76x = 4,734,595.51
  5. Step 5: Solve for x
    x = 4,734,595.51/3,272.76
  6. Step 6: Final answer
    x = 1,446.67

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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.