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Finding the Fourth Proportional to 14,065.80, 19,410.78 and 7,692.42

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Solution

The fourth proportional to 14,065.80, 19,410.78 and 7,692.42 is: 10,615.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,065.80 : 19,410.78 = 7,692.42 : x
  2. Step 2: Convert to fraction form
    14,065.80/19,410.78 = 7,692.42/x
  3. Step 3: Cross multiply
    14,065.80x = 19,410.78 × 7,692.42
  4. Step 4: Simplify right side
    14,065.80x = 149,315,872.29
  5. Step 5: Solve for x
    x = 149,315,872.29/14,065.80
  6. Step 6: Final answer
    x = 10,615.53

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1.5x scale

Why These Related Problems?

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