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Finding the Fourth Proportional to 13,537.25, 18,683.03 and 7,948.25

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Solution

The fourth proportional to 13,537.25, 18,683.03 and 7,948.25 is: 10,969.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,537.25 : 18,683.03 = 7,948.25 : x
  2. Step 2: Convert to fraction form
    13,537.25/18,683.03 = 7,948.25/x
  3. Step 3: Cross multiply
    13,537.25x = 18,683.03 × 7,948.25
  4. Step 4: Simplify right side
    13,537.25x = 148,497,393.20
  5. Step 5: Solve for x
    x = 148,497,393.20/13,537.25
  6. Step 6: Final answer
    x = 10,969.54

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1.5x scale

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.