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Finding the Fourth Proportional to 10,807, 16,215.38 and 6,190

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Solution

The fourth proportional to 10,807, 16,215.38 and 6,190 is: 9,287.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,807 : 16,215.38 = 6,190 : x
  2. Step 2: Convert to fraction form
    10,807/16,215.38 = 6,190/x
  3. Step 3: Cross multiply
    10,807x = 16,215.38 × 6,190
  4. Step 4: Simplify right side
    10,807x = 100,373,202.20
  5. Step 5: Solve for x
    x = 100,373,202.20/10,807
  6. Step 6: Final answer
    x = 9,287.80

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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.