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Finding the Fourth Proportional to 12,097.19, 18,138.72 and 4,692.99

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Solution

The fourth proportional to 12,097.19, 18,138.72 and 4,692.99 is: 7,036.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,097.19 : 18,138.72 = 4,692.99 : x
  2. Step 2: Convert to fraction form
    12,097.19/18,138.72 = 4,692.99/x
  3. Step 3: Cross multiply
    12,097.19x = 18,138.72 × 4,692.99
  4. Step 4: Simplify right side
    12,097.19x = 85,124,808.11
  5. Step 5: Solve for x
    x = 85,124,808.11/12,097.19
  6. Step 6: Final answer
    x = 7,036.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.