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Finding the Fourth Proportional to 11,885.70, 16,405.02 and 7,906.98

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Solution

The fourth proportional to 11,885.70, 16,405.02 and 7,906.98 is: 10,913.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,885.70 : 16,405.02 = 7,906.98 : x
  2. Step 2: Convert to fraction form
    11,885.70/16,405.02 = 7,906.98/x
  3. Step 3: Cross multiply
    11,885.70x = 16,405.02 × 7,906.98
  4. Step 4: Simplify right side
    11,885.70x = 129,714,165.04
  5. Step 5: Solve for x
    x = 129,714,165.04/11,885.70
  6. Step 6: Final answer
    x = 10,913.46

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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.