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Finding the Fourth Proportional to 2,552.55, 3,828.84 and 909.16

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Solution

The fourth proportional to 2,552.55, 3,828.84 and 909.16 is: 1,363.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552.55 : 3,828.84 = 909.16 : x
  2. Step 2: Convert to fraction form
    2,552.55/3,828.84 = 909.16/x
  3. Step 3: Cross multiply
    2,552.55x = 3,828.84 × 909.16
  4. Step 4: Simplify right side
    2,552.55x = 3,481,028.17
  5. Step 5: Solve for x
    x = 3,481,028.17/2,552.55
  6. Step 6: Final answer
    x = 1,363.75

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Half scale
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Double scale
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Similar ratio
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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.