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Finding the Fourth Proportional to 12,357.81, 18,525.85 and 6,422.20

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Solution

The fourth proportional to 12,357.81, 18,525.85 and 6,422.20 is: 9,627.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,357.81 : 18,525.85 = 6,422.20 : x
  2. Step 2: Convert to fraction form
    12,357.81/18,525.85 = 6,422.20/x
  3. Step 3: Cross multiply
    12,357.81x = 18,525.85 × 6,422.20
  4. Step 4: Simplify right side
    12,357.81x = 118,976,713.87
  5. Step 5: Solve for x
    x = 118,976,713.87/12,357.81
  6. Step 6: Final answer
    x = 9,627.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.