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Finding the Fourth Proportional to 21,980.49, 30,323.01 and 13,022.90

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Solution

The fourth proportional to 21,980.49, 30,323.01 and 13,022.90 is: 17,965.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,980.49 : 30,323.01 = 13,022.90 : x
  2. Step 2: Convert to fraction form
    21,980.49/30,323.01 = 13,022.90/x
  3. Step 3: Cross multiply
    21,980.49x = 30,323.01 × 13,022.90
  4. Step 4: Simplify right side
    21,980.49x = 394,893,526.93
  5. Step 5: Solve for x
    x = 394,893,526.93/21,980.49
  6. Step 6: Final answer
    x = 17,965.64

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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.