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Finding the Fourth Proportional to 13,223.25, 18,248.10 and 7,634.25

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Solution

The fourth proportional to 13,223.25, 18,248.10 and 7,634.25 is: 10,535.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,223.25 : 18,248.10 = 7,634.25 : x
  2. Step 2: Convert to fraction form
    13,223.25/18,248.10 = 7,634.25/x
  3. Step 3: Cross multiply
    13,223.25x = 18,248.10 × 7,634.25
  4. Step 4: Simplify right side
    13,223.25x = 139,310,557.43
  5. Step 5: Solve for x
    x = 139,310,557.43/13,223.25
  6. Step 6: Final answer
    x = 10,535.27

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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.