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Finding the Fourth Proportional to 6,438.33, 9,656.41 and 1,820.25

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Solution

The fourth proportional to 6,438.33, 9,656.41 and 1,820.25 is: 2,730.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438.33 : 9,656.41 = 1,820.25 : x
  2. Step 2: Convert to fraction form
    6,438.33/9,656.41 = 1,820.25/x
  3. Step 3: Cross multiply
    6,438.33x = 9,656.41 × 1,820.25
  4. Step 4: Simplify right side
    6,438.33x = 17,577,080.30
  5. Step 5: Solve for x
    x = 17,577,080.30/6,438.33
  6. Step 6: Final answer
    x = 2,730.07

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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.