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Finding the Fourth Proportional to 7,977.79, 11,005.01 and 4,992.99

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Solution

The fourth proportional to 7,977.79, 11,005.01 and 4,992.99 is: 6,887.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,977.79 : 11,005.01 = 4,992.99 : x
  2. Step 2: Convert to fraction form
    7,977.79/11,005.01 = 4,992.99/x
  3. Step 3: Cross multiply
    7,977.79x = 11,005.01 × 4,992.99
  4. Step 4: Simplify right side
    7,977.79x = 54,947,947.36
  5. Step 5: Solve for x
    x = 54,947,947.36/7,977.79
  6. Step 6: Final answer
    x = 6,887.61

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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.