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Finding the Fourth Proportional to 21,797.64, 30,094.74 and 13,419

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Solution

The fourth proportional to 21,797.64, 30,094.74 and 13,419 is: 18,526.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,797.64 : 30,094.74 = 13,419 : x
  2. Step 2: Convert to fraction form
    21,797.64/30,094.74 = 13,419/x
  3. Step 3: Cross multiply
    21,797.64x = 30,094.74 × 13,419
  4. Step 4: Simplify right side
    21,797.64x = 403,841,316.06
  5. Step 5: Solve for x
    x = 403,841,316.06/21,797.64
  6. Step 6: Final answer
    x = 18,526.84

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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.