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Finding the Fourth Proportional to 21,390.82, 32,078.24 and 7,346.86

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Solution

The fourth proportional to 21,390.82, 32,078.24 and 7,346.86 is: 11,017.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,390.82 : 32,078.24 = 7,346.86 : x
  2. Step 2: Convert to fraction form
    21,390.82/32,078.24 = 7,346.86/x
  3. Step 3: Cross multiply
    21,390.82x = 32,078.24 × 7,346.86
  4. Step 4: Simplify right side
    21,390.82x = 235,674,338.33
  5. Step 5: Solve for x
    x = 235,674,338.33/21,390.82
  6. Step 6: Final answer
    x = 11,017.55

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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.