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Finding the Fourth Proportional to 5,164.45, 7,747.36 and 1,878.48

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Solution

The fourth proportional to 5,164.45, 7,747.36 and 1,878.48 is: 2,817.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.45 : 7,747.36 = 1,878.48 : x
  2. Step 2: Convert to fraction form
    5,164.45/7,747.36 = 1,878.48/x
  3. Step 3: Cross multiply
    5,164.45x = 7,747.36 × 1,878.48
  4. Step 4: Simplify right side
    5,164.45x = 14,553,260.81
  5. Step 5: Solve for x
    x = 14,553,260.81/5,164.45
  6. Step 6: Final answer
    x = 2,817.97

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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.