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Finding the Fourth Proportional to 2,813.66, 4,220.24 and 1,253.74

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Solution

The fourth proportional to 2,813.66, 4,220.24 and 1,253.74 is: 1,880.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.66 : 4,220.24 = 1,253.74 : x
  2. Step 2: Convert to fraction form
    2,813.66/4,220.24 = 1,253.74/x
  3. Step 3: Cross multiply
    2,813.66x = 4,220.24 × 1,253.74
  4. Step 4: Simplify right side
    2,813.66x = 5,291,083.70
  5. Step 5: Solve for x
    x = 5,291,083.70/2,813.66
  6. Step 6: Final answer
    x = 1,880.50

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Half scale
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Double scale
Find fourth proportional to 2,814.66, 4,221.74 and 1,254.74
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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.