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Finding the Fourth Proportional to 12,677.44, 18,987.14 and 7,736.20

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Solution

The fourth proportional to 12,677.44, 18,987.14 and 7,736.20 is: 11,586.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,677.44 : 18,987.14 = 7,736.20 : x
  2. Step 2: Convert to fraction form
    12,677.44/18,987.14 = 7,736.20/x
  3. Step 3: Cross multiply
    12,677.44x = 18,987.14 × 7,736.20
  4. Step 4: Simplify right side
    12,677.44x = 146,888,312.47
  5. Step 5: Solve for x
    x = 146,888,312.47/12,677.44
  6. Step 6: Final answer
    x = 11,586.59

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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.