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Finding the Fourth Proportional to 3,060, 4,590.72 and 1,328.64

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Solution

The fourth proportional to 3,060, 4,590.72 and 1,328.64 is: 1,993.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,060 : 4,590.72 = 1,328.64 : x
  2. Step 2: Convert to fraction form
    3,060/4,590.72 = 1,328.64/x
  3. Step 3: Cross multiply
    3,060x = 4,590.72 × 1,328.64
  4. Step 4: Simplify right side
    3,060x = 6,099,414.22
  5. Step 5: Solve for x
    x = 6,099,414.22/3,060
  6. Step 6: Final answer
    x = 1,993.27

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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.