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Finding the Fourth Proportional to 3,925, 5,886.42 and 1,460.80

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Solution

The fourth proportional to 3,925, 5,886.42 and 1,460.80 is: 2,190.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,925 : 5,886.42 = 1,460.80 : x
  2. Step 2: Convert to fraction form
    3,925/5,886.42 = 1,460.80/x
  3. Step 3: Cross multiply
    3,925x = 5,886.42 × 1,460.80
  4. Step 4: Simplify right side
    3,925x = 8,598,882.34
  5. Step 5: Solve for x
    x = 8,598,882.34/3,925
  6. Step 6: Final answer
    x = 2,190.80

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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.