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Finding the Fourth Proportional to 12,208.63, 18,312.81 and 2,974.63

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Solution

The fourth proportional to 12,208.63, 18,312.81 and 2,974.63 is: 4,461.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,208.63 : 18,312.81 = 2,974.63 : x
  2. Step 2: Convert to fraction form
    12,208.63/18,312.81 = 2,974.63/x
  3. Step 3: Cross multiply
    12,208.63x = 18,312.81 × 2,974.63
  4. Step 4: Simplify right side
    12,208.63x = 54,473,834.01
  5. Step 5: Solve for x
    x = 54,473,834.01/12,208.63
  6. Step 6: Final answer
    x = 4,461.91

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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.