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Finding the Fourth Proportional to 10,989, 15,164.84 and 6,021

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Solution

The fourth proportional to 10,989, 15,164.84 and 6,021 is: 8,308.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,989 : 15,164.84 = 6,021 : x
  2. Step 2: Convert to fraction form
    10,989/15,164.84 = 6,021/x
  3. Step 3: Cross multiply
    10,989x = 15,164.84 × 6,021
  4. Step 4: Simplify right side
    10,989x = 91,307,501.64
  5. Step 5: Solve for x
    x = 91,307,501.64/10,989
  6. Step 6: Final answer
    x = 8,308.99

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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.