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Finding the Fourth Proportional to 12,896.64, 19,343.70 and 4,129.20

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Solution

The fourth proportional to 12,896.64, 19,343.70 and 4,129.20 is: 6,193.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,896.64 : 19,343.70 = 4,129.20 : x
  2. Step 2: Convert to fraction form
    12,896.64/19,343.70 = 4,129.20/x
  3. Step 3: Cross multiply
    12,896.64x = 19,343.70 × 4,129.20
  4. Step 4: Simplify right side
    12,896.64x = 79,874,006.04
  5. Step 5: Solve for x
    x = 79,874,006.04/12,896.64
  6. Step 6: Final answer
    x = 6,193.40

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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.