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Finding the Fourth Proportional to 19,692.34, 27,184.53 and 12,140.02

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Solution

The fourth proportional to 19,692.34, 27,184.53 and 12,140.02 is: 16,758.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,692.34 : 27,184.53 = 12,140.02 : x
  2. Step 2: Convert to fraction form
    19,692.34/27,184.53 = 12,140.02/x
  3. Step 3: Cross multiply
    19,692.34x = 27,184.53 × 12,140.02
  4. Step 4: Simplify right side
    19,692.34x = 330,020,737.89
  5. Step 5: Solve for x
    x = 330,020,737.89/19,692.34
  6. Step 6: Final answer
    x = 16,758.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.