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Finding the Fourth Proportional to 6,045.21, 8,343 and 3,688.74

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Solution

The fourth proportional to 6,045.21, 8,343 and 3,688.74 is: 5,090.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,045.21 : 8,343 = 3,688.74 : x
  2. Step 2: Convert to fraction form
    6,045.21/8,343 = 3,688.74/x
  3. Step 3: Cross multiply
    6,045.21x = 8,343 × 3,688.74
  4. Step 4: Simplify right side
    6,045.21x = 30,775,157.82
  5. Step 5: Solve for x
    x = 30,775,157.82/6,045.21
  6. Step 6: Final answer
    x = 5,090.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.