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Finding the Fourth Proportional to 5,347.11, 8,021.42 and 1,649.64

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Solution

The fourth proportional to 5,347.11, 8,021.42 and 1,649.64 is: 2,474.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,347.11 : 8,021.42 = 1,649.64 : x
  2. Step 2: Convert to fraction form
    5,347.11/8,021.42 = 1,649.64/x
  3. Step 3: Cross multiply
    5,347.11x = 8,021.42 × 1,649.64
  4. Step 4: Simplify right side
    5,347.11x = 13,232,455.29
  5. Step 5: Solve for x
    x = 13,232,455.29/5,347.11
  6. Step 6: Final answer
    x = 2,474.69

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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.