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Finding the Fourth Proportional to 11,978.12, 16,529.82 and 6,673.98

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Solution

The fourth proportional to 11,978.12, 16,529.82 and 6,673.98 is: 9,210.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,978.12 : 16,529.82 = 6,673.98 : x
  2. Step 2: Convert to fraction form
    11,978.12/16,529.82 = 6,673.98/x
  3. Step 3: Cross multiply
    11,978.12x = 16,529.82 × 6,673.98
  4. Step 4: Simplify right side
    11,978.12x = 110,319,688.08
  5. Step 5: Solve for x
    x = 110,319,688.08/11,978.12
  6. Step 6: Final answer
    x = 9,210.10

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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.