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Finding the Fourth Proportional to 13,277.76, 19,911 and 5,877

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Solution

The fourth proportional to 13,277.76, 19,911 and 5,877 is: 8,813.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,277.76 : 19,911 = 5,877 : x
  2. Step 2: Convert to fraction form
    13,277.76/19,911 = 5,877/x
  3. Step 3: Cross multiply
    13,277.76x = 19,911 × 5,877
  4. Step 4: Simplify right side
    13,277.76x = 117,016,947
  5. Step 5: Solve for x
    x = 117,016,947/13,277.76
  6. Step 6: Final answer
    x = 8,813.00

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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.