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Finding the Fourth Proportional to 18,406, 25,400.38 and 10,022.50

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Solution

The fourth proportional to 18,406, 25,400.38 and 10,022.50 is: 13,831.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,406 : 25,400.38 = 10,022.50 : x
  2. Step 2: Convert to fraction form
    18,406/25,400.38 = 10,022.50/x
  3. Step 3: Cross multiply
    18,406x = 25,400.38 × 10,022.50
  4. Step 4: Simplify right side
    18,406x = 254,575,308.55
  5. Step 5: Solve for x
    x = 254,575,308.55/18,406
  6. Step 6: Final answer
    x = 13,831.10

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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.