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Finding the Fourth Proportional to 5,743.47, 8,615.21 and 1,639.47

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Solution

The fourth proportional to 5,743.47, 8,615.21 and 1,639.47 is: 2,459.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,743.47 : 8,615.21 = 1,639.47 : x
  2. Step 2: Convert to fraction form
    5,743.47/8,615.21 = 1,639.47/x
  3. Step 3: Cross multiply
    5,743.47x = 8,615.21 × 1,639.47
  4. Step 4: Simplify right side
    5,743.47x = 14,124,370.14
  5. Step 5: Solve for x
    x = 14,124,370.14/5,743.47
  6. Step 6: Final answer
    x = 2,459.21

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Similar ratio
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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.