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Finding the Fourth Proportional to 14,308.88, 19,744.64 and 8,021.12

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Solution

The fourth proportional to 14,308.88, 19,744.64 and 8,021.12 is: 11,068.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,308.88 : 19,744.64 = 8,021.12 : x
  2. Step 2: Convert to fraction form
    14,308.88/19,744.64 = 8,021.12/x
  3. Step 3: Cross multiply
    14,308.88x = 19,744.64 × 8,021.12
  4. Step 4: Simplify right side
    14,308.88x = 158,373,987.97
  5. Step 5: Solve for x
    x = 158,373,987.97/14,308.88
  6. Step 6: Final answer
    x = 11,068.23

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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.