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Finding the Fourth Proportional to 21,199.68, 29,269 and 13,648.80

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Solution

The fourth proportional to 21,199.68, 29,269 and 13,648.80 is: 18,844.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,199.68 : 29,269 = 13,648.80 : x
  2. Step 2: Convert to fraction form
    21,199.68/29,269 = 13,648.80/x
  3. Step 3: Cross multiply
    21,199.68x = 29,269 × 13,648.80
  4. Step 4: Simplify right side
    21,199.68x = 399,486,727.20
  5. Step 5: Solve for x
    x = 399,486,727.20/21,199.68
  6. Step 6: Final answer
    x = 18,844.00

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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.