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Finding the Fourth Proportional to 13,214.00, 19,820.99 and 3,980.00

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Solution

The fourth proportional to 13,214.00, 19,820.99 and 3,980.00 is: 5,969.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,214.00 : 19,820.99 = 3,980.00 : x
  2. Step 2: Convert to fraction form
    13,214.00/19,820.99 = 3,980.00/x
  3. Step 3: Cross multiply
    13,214.00x = 19,820.99 × 3,980.00
  4. Step 4: Simplify right side
    13,214.00x = 78,887,451.05
  5. Step 5: Solve for x
    x = 78,887,451.05/13,214.00
  6. Step 6: Final answer
    x = 5,969.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.