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Finding the Fourth Proportional to 5,151.63, 7,728.05 and 1,866.27

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Solution

The fourth proportional to 5,151.63, 7,728.05 and 1,866.27 is: 2,799.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,151.63 : 7,728.05 = 1,866.27 : x
  2. Step 2: Convert to fraction form
    5,151.63/7,728.05 = 1,866.27/x
  3. Step 3: Cross multiply
    5,151.63x = 7,728.05 × 1,866.27
  4. Step 4: Simplify right side
    5,151.63x = 14,422,627.87
  5. Step 5: Solve for x
    x = 14,422,627.87/5,151.63
  6. Step 6: Final answer
    x = 2,799.62

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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.