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Finding the Fourth Proportional to 11,978.30, 16,529.40 and 6,599.68

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Solution

The fourth proportional to 11,978.30, 16,529.40 and 6,599.68 is: 9,107.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,978.30 : 16,529.40 = 6,599.68 : x
  2. Step 2: Convert to fraction form
    11,978.30/16,529.40 = 6,599.68/x
  3. Step 3: Cross multiply
    11,978.30x = 16,529.40 × 6,599.68
  4. Step 4: Simplify right side
    11,978.30x = 109,088,750.59
  5. Step 5: Solve for x
    x = 109,088,750.59/11,978.30
  6. Step 6: Final answer
    x = 9,107.20

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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.