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Finding the Fourth Proportional to 14,466.68, 19,961.68 and 8,178.20

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Solution

The fourth proportional to 14,466.68, 19,961.68 and 8,178.20 is: 11,284.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,466.68 : 19,961.68 = 8,178.20 : x
  2. Step 2: Convert to fraction form
    14,466.68/19,961.68 = 8,178.20/x
  3. Step 3: Cross multiply
    14,466.68x = 19,961.68 × 8,178.20
  4. Step 4: Simplify right side
    14,466.68x = 163,250,611.38
  5. Step 5: Solve for x
    x = 163,250,611.38/14,466.68
  6. Step 6: Final answer
    x = 11,284.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.