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Finding the Fourth Proportional to 13,919.64, 19,209.15 and 8,330.64

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Solution

The fourth proportional to 13,919.64, 19,209.15 and 8,330.64 is: 11,496.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,919.64 : 19,209.15 = 8,330.64 : x
  2. Step 2: Convert to fraction form
    13,919.64/19,209.15 = 8,330.64/x
  3. Step 3: Cross multiply
    13,919.64x = 19,209.15 × 8,330.64
  4. Step 4: Simplify right side
    13,919.64x = 160,024,513.36
  5. Step 5: Solve for x
    x = 160,024,513.36/13,919.64
  6. Step 6: Final answer
    x = 11,496.31

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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.