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Finding the Fourth Proportional to 11,886.65, 16,403.82 and 6,509.31

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Solution

The fourth proportional to 11,886.65, 16,403.82 and 6,509.31 is: 8,982.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,886.65 : 16,403.82 = 6,509.31 : x
  2. Step 2: Convert to fraction form
    11,886.65/16,403.82 = 6,509.31/x
  3. Step 3: Cross multiply
    11,886.65x = 16,403.82 × 6,509.31
  4. Step 4: Simplify right side
    11,886.65x = 106,777,435.00
  5. Step 5: Solve for x
    x = 106,777,435.00/11,886.65
  6. Step 6: Final answer
    x = 8,982.98

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1.5x scale

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.