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Finding the Fourth Proportional to 12,692.46, 19,038.69 and 3,927.45

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Solution

The fourth proportional to 12,692.46, 19,038.69 and 3,927.45 is: 5,891.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,692.46 : 19,038.69 = 3,927.45 : x
  2. Step 2: Convert to fraction form
    12,692.46/19,038.69 = 3,927.45/x
  3. Step 3: Cross multiply
    12,692.46x = 19,038.69 × 3,927.45
  4. Step 4: Simplify right side
    12,692.46x = 74,773,503.04
  5. Step 5: Solve for x
    x = 74,773,503.04/12,692.46
  6. Step 6: Final answer
    x = 5,891.18

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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.