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Finding the Fourth Proportional to 3,886.87, 5,830.32 and 1,576.75

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Solution

The fourth proportional to 3,886.87, 5,830.32 and 1,576.75 is: 2,365.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.87 : 5,830.32 = 1,576.75 : x
  2. Step 2: Convert to fraction form
    3,886.87/5,830.32 = 1,576.75/x
  3. Step 3: Cross multiply
    3,886.87x = 5,830.32 × 1,576.75
  4. Step 4: Simplify right side
    3,886.87x = 9,192,957.06
  5. Step 5: Solve for x
    x = 9,192,957.06/3,886.87
  6. Step 6: Final answer
    x = 2,365.13

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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.