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Finding the Fourth Proportional to 11,242.81, 16,865.04 and 4,317.31

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Solution

The fourth proportional to 11,242.81, 16,865.04 and 4,317.31 is: 6,476.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,242.81 : 16,865.04 = 4,317.31 : x
  2. Step 2: Convert to fraction form
    11,242.81/16,865.04 = 4,317.31/x
  3. Step 3: Cross multiply
    11,242.81x = 16,865.04 × 4,317.31
  4. Step 4: Simplify right side
    11,242.81x = 72,811,637.21
  5. Step 5: Solve for x
    x = 72,811,637.21/11,242.81
  6. Step 6: Final answer
    x = 6,476.28

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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.