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Finding the Fourth Proportional to 5,743.75, 8,615.64 and 1,639.75

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Solution

The fourth proportional to 5,743.75, 8,615.64 and 1,639.75 is: 2,459.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,743.75 : 8,615.64 = 1,639.75 : x
  2. Step 2: Convert to fraction form
    5,743.75/8,615.64 = 1,639.75/x
  3. Step 3: Cross multiply
    5,743.75x = 8,615.64 × 1,639.75
  4. Step 4: Simplify right side
    5,743.75x = 14,127,495.69
  5. Step 5: Solve for x
    x = 14,127,495.69/5,743.75
  6. Step 6: Final answer
    x = 2,459.63

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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.