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Finding the Fourth Proportional to 14,699.14, 20,284.97 and 7,984.90

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Solution

The fourth proportional to 14,699.14, 20,284.97 and 7,984.90 is: 11,019.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,699.14 : 20,284.97 = 7,984.90 : x
  2. Step 2: Convert to fraction form
    14,699.14/20,284.97 = 7,984.90/x
  3. Step 3: Cross multiply
    14,699.14x = 20,284.97 × 7,984.90
  4. Step 4: Simplify right side
    14,699.14x = 161,973,456.95
  5. Step 5: Solve for x
    x = 161,973,456.95/14,699.14
  6. Step 6: Final answer
    x = 11,019.25

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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.