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Finding the Fourth Proportional to 12,782.40, 19,184.40 and 4,996.80

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Solution

The fourth proportional to 12,782.40, 19,184.40 and 4,996.80 is: 7,499.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,782.40 : 19,184.40 = 4,996.80 : x
  2. Step 2: Convert to fraction form
    12,782.40/19,184.40 = 4,996.80/x
  3. Step 3: Cross multiply
    12,782.40x = 19,184.40 × 4,996.80
  4. Step 4: Simplify right side
    12,782.40x = 95,860,609.92
  5. Step 5: Solve for x
    x = 95,860,609.92/12,782.40
  6. Step 6: Final answer
    x = 7,499.42

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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.