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Finding the Fourth Proportional to 12,764.61, 19,122.03 and 8,368.74

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Solution

The fourth proportional to 12,764.61, 19,122.03 and 8,368.74 is: 12,536.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,764.61 : 19,122.03 = 8,368.74 : x
  2. Step 2: Convert to fraction form
    12,764.61/19,122.03 = 8,368.74/x
  3. Step 3: Cross multiply
    12,764.61x = 19,122.03 × 8,368.74
  4. Step 4: Simplify right side
    12,764.61x = 160,027,297.34
  5. Step 5: Solve for x
    x = 160,027,297.34/12,764.61
  6. Step 6: Final answer
    x = 12,536.79

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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.