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Finding the Fourth Proportional to 10,805.40, 16,172.10 and 7,835.40

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Solution

The fourth proportional to 10,805.40, 16,172.10 and 7,835.40 is: 11,727.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,805.40 : 16,172.10 = 7,835.40 : x
  2. Step 2: Convert to fraction form
    10,805.40/16,172.10 = 7,835.40/x
  3. Step 3: Cross multiply
    10,805.40x = 16,172.10 × 7,835.40
  4. Step 4: Simplify right side
    10,805.40x = 126,714,872.34
  5. Step 5: Solve for x
    x = 126,714,872.34/10,805.40
  6. Step 6: Final answer
    x = 11,727.00

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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.