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Finding the Fourth Proportional to 4,459.47, 6,689.22 and 1,828.41

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Solution

The fourth proportional to 4,459.47, 6,689.22 and 1,828.41 is: 2,742.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,459.47 : 6,689.22 = 1,828.41 : x
  2. Step 2: Convert to fraction form
    4,459.47/6,689.22 = 1,828.41/x
  3. Step 3: Cross multiply
    4,459.47x = 6,689.22 × 1,828.41
  4. Step 4: Simplify right side
    4,459.47x = 12,230,636.74
  5. Step 5: Solve for x
    x = 12,230,636.74/4,459.47
  6. Step 6: Final answer
    x = 2,742.62

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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.