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Finding the Fourth Proportional to 13,969.16, 19,255 and 12,824.64

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Solution

The fourth proportional to 13,969.16, 19,255 and 12,824.64 is: 17,677.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,969.16 : 19,255 = 12,824.64 : x
  2. Step 2: Convert to fraction form
    13,969.16/19,255 = 12,824.64/x
  3. Step 3: Cross multiply
    13,969.16x = 19,255 × 12,824.64
  4. Step 4: Simplify right side
    13,969.16x = 246,938,443.20
  5. Step 5: Solve for x
    x = 246,938,443.20/13,969.16
  6. Step 6: Final answer
    x = 17,677.40

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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.