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Finding the Fourth Proportional to 11,009.02, 16,490.16 and 8,657.86

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Solution

The fourth proportional to 11,009.02, 16,490.16 and 8,657.86 is: 12,968.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,009.02 : 16,490.16 = 8,657.86 : x
  2. Step 2: Convert to fraction form
    11,009.02/16,490.16 = 8,657.86/x
  3. Step 3: Cross multiply
    11,009.02x = 16,490.16 × 8,657.86
  4. Step 4: Simplify right side
    11,009.02x = 142,769,496.66
  5. Step 5: Solve for x
    x = 142,769,496.66/11,009.02
  6. Step 6: Final answer
    x = 12,968.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.