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Finding the Fourth Proportional to 5,483.78, 8,223.80 and 1,785.09

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Solution

The fourth proportional to 5,483.78, 8,223.80 and 1,785.09 is: 2,677.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,483.78 : 8,223.80 = 1,785.09 : x
  2. Step 2: Convert to fraction form
    5,483.78/8,223.80 = 1,785.09/x
  3. Step 3: Cross multiply
    5,483.78x = 8,223.80 × 1,785.09
  4. Step 4: Simplify right side
    5,483.78x = 14,680,223.14
  5. Step 5: Solve for x
    x = 14,680,223.14/5,483.78
  6. Step 6: Final answer
    x = 2,677.03

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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.