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Finding the Fourth Proportional to 18,829.60, 25,963.64 and 15,416

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Solution

The fourth proportional to 18,829.60, 25,963.64 and 15,416 is: 21,256.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,829.60 : 25,963.64 = 15,416 : x
  2. Step 2: Convert to fraction form
    18,829.60/25,963.64 = 15,416/x
  3. Step 3: Cross multiply
    18,829.60x = 25,963.64 × 15,416
  4. Step 4: Simplify right side
    18,829.60x = 400,255,474.24
  5. Step 5: Solve for x
    x = 400,255,474.24/18,829.60
  6. Step 6: Final answer
    x = 21,256.72

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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.