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Finding the Fourth Proportional to 3,164.80, 4,746.64 and 855.76

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Solution

The fourth proportional to 3,164.80, 4,746.64 and 855.76 is: 1,283.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.80 : 4,746.64 = 855.76 : x
  2. Step 2: Convert to fraction form
    3,164.80/4,746.64 = 855.76/x
  3. Step 3: Cross multiply
    3,164.80x = 4,746.64 × 855.76
  4. Step 4: Simplify right side
    3,164.80x = 4,061,984.65
  5. Step 5: Solve for x
    x = 4,061,984.65/3,164.80
  6. Step 6: Final answer
    x = 1,283.49

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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.