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Finding the Fourth Proportional to 3,435.64, 5,152 and 1,486.45

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Solution

The fourth proportional to 3,435.64, 5,152 and 1,486.45 is: 2,229.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,435.64 : 5,152 = 1,486.45 : x
  2. Step 2: Convert to fraction form
    3,435.64/5,152 = 1,486.45/x
  3. Step 3: Cross multiply
    3,435.64x = 5,152 × 1,486.45
  4. Step 4: Simplify right side
    3,435.64x = 7,658,190.40
  5. Step 5: Solve for x
    x = 7,658,190.40/3,435.64
  6. Step 6: Final answer
    x = 2,229.04

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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.