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Finding the Fourth Proportional to 12,843.88, 19,259.10 and 6,271.24

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Solution

The fourth proportional to 12,843.88, 19,259.10 and 6,271.24 is: 9,403.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,843.88 : 19,259.10 = 6,271.24 : x
  2. Step 2: Convert to fraction form
    12,843.88/19,259.10 = 6,271.24/x
  3. Step 3: Cross multiply
    12,843.88x = 19,259.10 × 6,271.24
  4. Step 4: Simplify right side
    12,843.88x = 120,778,438.28
  5. Step 5: Solve for x
    x = 120,778,438.28/12,843.88
  6. Step 6: Final answer
    x = 9,403.58

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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.