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Finding the Fourth Proportional to 3,052.06, 4,578.38 and 860.80

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Solution

The fourth proportional to 3,052.06, 4,578.38 and 860.80 is: 1,291.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,052.06 : 4,578.38 = 860.80 : x
  2. Step 2: Convert to fraction form
    3,052.06/4,578.38 = 860.80/x
  3. Step 3: Cross multiply
    3,052.06x = 4,578.38 × 860.80
  4. Step 4: Simplify right side
    3,052.06x = 3,941,069.50
  5. Step 5: Solve for x
    x = 3,941,069.50/3,052.06
  6. Step 6: Final answer
    x = 1,291.28

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Double scale
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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.