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Finding the Fourth Proportional to 5,342.79, 8,014.94 and 1,645.33

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Solution

The fourth proportional to 5,342.79, 8,014.94 and 1,645.33 is: 2,468.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,342.79 : 8,014.94 = 1,645.33 : x
  2. Step 2: Convert to fraction form
    5,342.79/8,014.94 = 1,645.33/x
  3. Step 3: Cross multiply
    5,342.79x = 8,014.94 × 1,645.33
  4. Step 4: Simplify right side
    5,342.79x = 13,187,221.23
  5. Step 5: Solve for x
    x = 13,187,221.23/5,342.79
  6. Step 6: Final answer
    x = 2,468.23

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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.