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Finding the Fourth Proportional to 12,692.32, 19,038.80 and 3,927.20

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Solution

The fourth proportional to 12,692.32, 19,038.80 and 3,927.20 is: 5,890.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,692.32 : 19,038.80 = 3,927.20 : x
  2. Step 2: Convert to fraction form
    12,692.32/19,038.80 = 3,927.20/x
  3. Step 3: Cross multiply
    12,692.32x = 19,038.80 × 3,927.20
  4. Step 4: Simplify right side
    12,692.32x = 74,769,175.36
  5. Step 5: Solve for x
    x = 74,769,175.36/12,692.32
  6. Step 6: Final answer
    x = 5,890.90

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1.5x scale

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.