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Finding the Fourth Proportional to 11,886.84, 16,404.09 and 6,509.50

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Solution

The fourth proportional to 11,886.84, 16,404.09 and 6,509.50 is: 8,983.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,886.84 : 16,404.09 = 6,509.50 : x
  2. Step 2: Convert to fraction form
    11,886.84/16,404.09 = 6,509.50/x
  3. Step 3: Cross multiply
    11,886.84x = 16,404.09 × 6,509.50
  4. Step 4: Simplify right side
    11,886.84x = 106,782,423.86
  5. Step 5: Solve for x
    x = 106,782,423.86/11,886.84
  6. Step 6: Final answer
    x = 8,983.25

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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.