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Finding the Fourth Proportional to 12,774.72, 19,122.48 and 6,916.80

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Solution

The fourth proportional to 12,774.72, 19,122.48 and 6,916.80 is: 10,353.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,774.72 : 19,122.48 = 6,916.80 : x
  2. Step 2: Convert to fraction form
    12,774.72/19,122.48 = 6,916.80/x
  3. Step 3: Cross multiply
    12,774.72x = 19,122.48 × 6,916.80
  4. Step 4: Simplify right side
    12,774.72x = 132,266,369.66
  5. Step 5: Solve for x
    x = 132,266,369.66/12,774.72
  6. Step 6: Final answer
    x = 10,353.76

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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.