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Finding the Fourth Proportional to 18,421.92, 25,422 and 10,038.24

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Solution

The fourth proportional to 18,421.92, 25,422 and 10,038.24 is: 13,852.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,421.92 : 25,422 = 10,038.24 : x
  2. Step 2: Convert to fraction form
    18,421.92/25,422 = 10,038.24/x
  3. Step 3: Cross multiply
    18,421.92x = 25,422 × 10,038.24
  4. Step 4: Simplify right side
    18,421.92x = 255,192,137.28
  5. Step 5: Solve for x
    x = 255,192,137.28/18,421.92
  6. Step 6: Final answer
    x = 13,852.64

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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.