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Finding the Fourth Proportional to 13,824.90, 19,062.90 and 8,782.74

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Solution

The fourth proportional to 13,824.90, 19,062.90 and 8,782.74 is: 12,110.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,824.90 : 19,062.90 = 8,782.74 : x
  2. Step 2: Convert to fraction form
    13,824.90/19,062.90 = 8,782.74/x
  3. Step 3: Cross multiply
    13,824.90x = 19,062.90 × 8,782.74
  4. Step 4: Simplify right side
    13,824.90x = 167,424,494.35
  5. Step 5: Solve for x
    x = 167,424,494.35/13,824.90
  6. Step 6: Final answer
    x = 12,110.36

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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.