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Finding the Fourth Proportional to 12,711.12, 19,053 and 5,311.77

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Solution

The fourth proportional to 12,711.12, 19,053 and 5,311.77 is: 7,961.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,711.12 : 19,053 = 5,311.77 : x
  2. Step 2: Convert to fraction form
    12,711.12/19,053 = 5,311.77/x
  3. Step 3: Cross multiply
    12,711.12x = 19,053 × 5,311.77
  4. Step 4: Simplify right side
    12,711.12x = 101,205,153.81
  5. Step 5: Solve for x
    x = 101,205,153.81/12,711.12
  6. Step 6: Final answer
    x = 7,961.94

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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.