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Finding the Fourth Proportional to 12,692.64, 19,005.84 and 10,213.92

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Solution

The fourth proportional to 12,692.64, 19,005.84 and 10,213.92 is: 15,294.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,692.64 : 19,005.84 = 10,213.92 : x
  2. Step 2: Convert to fraction form
    12,692.64/19,005.84 = 10,213.92/x
  3. Step 3: Cross multiply
    12,692.64x = 19,005.84 × 10,213.92
  4. Step 4: Simplify right side
    12,692.64x = 194,124,129.29
  5. Step 5: Solve for x
    x = 194,124,129.29/12,692.64
  6. Step 6: Final answer
    x = 15,294.23

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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.