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Finding the Fourth Proportional to 5,343.68, 8,014.84 and 1,645.90

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Solution

The fourth proportional to 5,343.68, 8,014.84 and 1,645.90 is: 2,468.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,343.68 : 8,014.84 = 1,645.90 : x
  2. Step 2: Convert to fraction form
    5,343.68/8,014.84 = 1,645.90/x
  3. Step 3: Cross multiply
    5,343.68x = 8,014.84 × 1,645.90
  4. Step 4: Simplify right side
    5,343.68x = 13,191,625.16
  5. Step 5: Solve for x
    x = 13,191,625.16/5,343.68
  6. Step 6: Final answer
    x = 2,468.64

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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.