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Finding the Fourth Proportional to 12,476.90, 17,223.74 and 8,230.48

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Solution

The fourth proportional to 12,476.90, 17,223.74 and 8,230.48 is: 11,361.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,476.90 : 17,223.74 = 8,230.48 : x
  2. Step 2: Convert to fraction form
    12,476.90/17,223.74 = 8,230.48/x
  3. Step 3: Cross multiply
    12,476.90x = 17,223.74 × 8,230.48
  4. Step 4: Simplify right side
    12,476.90x = 141,759,594.25
  5. Step 5: Solve for x
    x = 141,759,594.25/12,476.90
  6. Step 6: Final answer
    x = 11,361.76

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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.