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Finding the Fourth Proportional to 12,674.78, 19,012.20 and 7,477

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Solution

The fourth proportional to 12,674.78, 19,012.20 and 7,477 is: 11,215.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,674.78 : 19,012.20 = 7,477 : x
  2. Step 2: Convert to fraction form
    12,674.78/19,012.20 = 7,477/x
  3. Step 3: Cross multiply
    12,674.78x = 19,012.20 × 7,477
  4. Step 4: Simplify right side
    12,674.78x = 142,154,219.40
  5. Step 5: Solve for x
    x = 142,154,219.40/12,674.78
  6. Step 6: Final answer
    x = 11,215.52

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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.