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Finding the Fourth Proportional to 12,771.77, 19,124.85 and 7,826.42

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Solution

The fourth proportional to 12,771.77, 19,124.85 and 7,826.42 is: 11,719.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,771.77 : 19,124.85 = 7,826.42 : x
  2. Step 2: Convert to fraction form
    12,771.77/19,124.85 = 7,826.42/x
  3. Step 3: Cross multiply
    12,771.77x = 19,124.85 × 7,826.42
  4. Step 4: Simplify right side
    12,771.77x = 149,679,012.91
  5. Step 5: Solve for x
    x = 149,679,012.91/12,771.77
  6. Step 6: Final answer
    x = 11,719.52

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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.