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Finding the Fourth Proportional to 11,365, 15,683.94 and 6,397

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Solution

The fourth proportional to 11,365, 15,683.94 and 6,397 is: 8,828.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,365 : 15,683.94 = 6,397 : x
  2. Step 2: Convert to fraction form
    11,365/15,683.94 = 6,397/x
  3. Step 3: Cross multiply
    11,365x = 15,683.94 × 6,397
  4. Step 4: Simplify right side
    11,365x = 100,330,164.18
  5. Step 5: Solve for x
    x = 100,330,164.18/11,365
  6. Step 6: Final answer
    x = 8,828.00

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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.