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Finding the Fourth Proportional to 4,692.33, 7,038.49 and 1,919.40

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Solution

The fourth proportional to 4,692.33, 7,038.49 and 1,919.40 is: 2,879.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,692.33 : 7,038.49 = 1,919.40 : x
  2. Step 2: Convert to fraction form
    4,692.33/7,038.49 = 1,919.40/x
  3. Step 3: Cross multiply
    4,692.33x = 7,038.49 × 1,919.40
  4. Step 4: Simplify right side
    4,692.33x = 13,509,642.51
  5. Step 5: Solve for x
    x = 13,509,642.51/4,692.33
  6. Step 6: Final answer
    x = 2,879.09

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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.