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Finding the Fourth Proportional to 18,820, 25,971.60 and 10,438.24

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Solution

The fourth proportional to 18,820, 25,971.60 and 10,438.24 is: 14,404.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,820 : 25,971.60 = 10,438.24 : x
  2. Step 2: Convert to fraction form
    18,820/25,971.60 = 10,438.24/x
  3. Step 3: Cross multiply
    18,820x = 25,971.60 × 10,438.24
  4. Step 4: Simplify right side
    18,820x = 271,097,793.98
  5. Step 5: Solve for x
    x = 271,097,793.98/18,820
  6. Step 6: Final answer
    x = 14,404.77

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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.