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Finding the Fourth Proportional to 12,990.63, 19,457.75 and 7,977.79

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Solution

The fourth proportional to 12,990.63, 19,457.75 and 7,977.79 is: 11,949.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,990.63 : 19,457.75 = 7,977.79 : x
  2. Step 2: Convert to fraction form
    12,990.63/19,457.75 = 7,977.79/x
  3. Step 3: Cross multiply
    12,990.63x = 19,457.75 × 7,977.79
  4. Step 4: Simplify right side
    12,990.63x = 155,229,843.37
  5. Step 5: Solve for x
    x = 155,229,843.37/12,990.63
  6. Step 6: Final answer
    x = 11,949.37

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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.