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Finding the Fourth Proportional to 4,690.44, 7,038 and 1,919.16

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Solution

The fourth proportional to 4,690.44, 7,038 and 1,919.16 is: 2,879.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,690.44 : 7,038 = 1,919.16 : x
  2. Step 2: Convert to fraction form
    4,690.44/7,038 = 1,919.16/x
  3. Step 3: Cross multiply
    4,690.44x = 7,038 × 1,919.16
  4. Step 4: Simplify right side
    4,690.44x = 13,507,048.08
  5. Step 5: Solve for x
    x = 13,507,048.08/4,690.44
  6. Step 6: Final answer
    x = 2,879.70

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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.