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Finding the Fourth Proportional to 12,782.65, 19,172.63 and 3,423.63

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Solution

The fourth proportional to 12,782.65, 19,172.63 and 3,423.63 is: 5,135.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,782.65 : 19,172.63 = 3,423.63 : x
  2. Step 2: Convert to fraction form
    12,782.65/19,172.63 = 3,423.63/x
  3. Step 3: Cross multiply
    12,782.65x = 19,172.63 × 3,423.63
  4. Step 4: Simplify right side
    12,782.65x = 65,640,071.70
  5. Step 5: Solve for x
    x = 65,640,071.70/12,782.65
  6. Step 6: Final answer
    x = 5,135.09

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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.