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Finding the Fourth Proportional to 3,156.08, 4,733.94 and 964.76

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Solution

The fourth proportional to 3,156.08, 4,733.94 and 964.76 is: 1,447.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,156.08 : 4,733.94 = 964.76 : x
  2. Step 2: Convert to fraction form
    3,156.08/4,733.94 = 964.76/x
  3. Step 3: Cross multiply
    3,156.08x = 4,733.94 × 964.76
  4. Step 4: Simplify right side
    3,156.08x = 4,567,115.95
  5. Step 5: Solve for x
    x = 4,567,115.95/3,156.08
  6. Step 6: Final answer
    x = 1,447.08

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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.