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Finding the Fourth Proportional to 21,699.42, 29,947.42 and 13,202.14

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Solution

The fourth proportional to 21,699.42, 29,947.42 and 13,202.14 is: 18,220.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,699.42 : 29,947.42 = 13,202.14 : x
  2. Step 2: Convert to fraction form
    21,699.42/29,947.42 = 13,202.14/x
  3. Step 3: Cross multiply
    21,699.42x = 29,947.42 × 13,202.14
  4. Step 4: Simplify right side
    21,699.42x = 395,370,031.48
  5. Step 5: Solve for x
    x = 395,370,031.48/21,699.42
  6. Step 6: Final answer
    x = 18,220.30

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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.