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Finding the Fourth Proportional to 18,833.64, 25,969.12 and 15,420

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Solution

The fourth proportional to 18,833.64, 25,969.12 and 15,420 is: 21,262.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,833.64 : 25,969.12 = 15,420 : x
  2. Step 2: Convert to fraction form
    18,833.64/25,969.12 = 15,420/x
  3. Step 3: Cross multiply
    18,833.64x = 25,969.12 × 15,420
  4. Step 4: Simplify right side
    18,833.64x = 400,443,830.40
  5. Step 5: Solve for x
    x = 400,443,830.40/18,833.64
  6. Step 6: Final answer
    x = 21,262.16

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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.