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Finding the Fourth Proportional to 11,009.40, 16,499.70 and 7,927.80

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Solution

The fourth proportional to 11,009.40, 16,499.70 and 7,927.80 is: 11,881.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,009.40 : 16,499.70 = 7,927.80 : x
  2. Step 2: Convert to fraction form
    11,009.40/16,499.70 = 7,927.80/x
  3. Step 3: Cross multiply
    11,009.40x = 16,499.70 × 7,927.80
  4. Step 4: Simplify right side
    11,009.40x = 130,806,321.66
  5. Step 5: Solve for x
    x = 130,806,321.66/11,009.40
  6. Step 6: Final answer
    x = 11,881.33

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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.