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Finding the Fourth Proportional to 5,445.78, 8,167.86 and 1,983.06

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Solution

The fourth proportional to 5,445.78, 8,167.86 and 1,983.06 is: 2,974.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,445.78 : 8,167.86 = 1,983.06 : x
  2. Step 2: Convert to fraction form
    5,445.78/8,167.86 = 1,983.06/x
  3. Step 3: Cross multiply
    5,445.78x = 8,167.86 × 1,983.06
  4. Step 4: Simplify right side
    5,445.78x = 16,197,356.45
  5. Step 5: Solve for x
    x = 16,197,356.45/5,445.78
  6. Step 6: Final answer
    x = 2,974.30

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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.