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Finding the Fourth Proportional to 3,886.65, 5,830.05 and 1,423.29

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Solution

The fourth proportional to 3,886.65, 5,830.05 and 1,423.29 is: 2,134.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.65 : 5,830.05 = 1,423.29 : x
  2. Step 2: Convert to fraction form
    3,886.65/5,830.05 = 1,423.29/x
  3. Step 3: Cross multiply
    3,886.65x = 5,830.05 × 1,423.29
  4. Step 4: Simplify right side
    3,886.65x = 8,297,851.86
  5. Step 5: Solve for x
    x = 8,297,851.86/3,886.65
  6. Step 6: Final answer
    x = 2,134.96

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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.