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Finding the Fourth Proportional to 12,782.62, 19,174.12 and 4,017.54

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Solution

The fourth proportional to 12,782.62, 19,174.12 and 4,017.54 is: 6,026.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,782.62 : 19,174.12 = 4,017.54 : x
  2. Step 2: Convert to fraction form
    12,782.62/19,174.12 = 4,017.54/x
  3. Step 3: Cross multiply
    12,782.62x = 19,174.12 × 4,017.54
  4. Step 4: Simplify right side
    12,782.62x = 77,032,794.06
  5. Step 5: Solve for x
    x = 77,032,794.06/12,782.62
  6. Step 6: Final answer
    x = 6,026.37

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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.