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Finding the Fourth Proportional to 12,846, 19,276.20 and 12,748.08

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Solution

The fourth proportional to 12,846, 19,276.20 and 12,748.08 is: 19,129.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,846 : 19,276.20 = 12,748.08 : x
  2. Step 2: Convert to fraction form
    12,846/19,276.20 = 12,748.08/x
  3. Step 3: Cross multiply
    12,846x = 19,276.20 × 12,748.08
  4. Step 4: Simplify right side
    12,846x = 245,734,539.70
  5. Step 5: Solve for x
    x = 245,734,539.70/12,846
  6. Step 6: Final answer
    x = 19,129.27

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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.