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Finding the Fourth Proportional to 4,679.40, 6,457 and 2,583.39

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Solution

The fourth proportional to 4,679.40, 6,457 and 2,583.39 is: 3,564.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,679.40 : 6,457 = 2,583.39 : x
  2. Step 2: Convert to fraction form
    4,679.40/6,457 = 2,583.39/x
  3. Step 3: Cross multiply
    4,679.40x = 6,457 × 2,583.39
  4. Step 4: Simplify right side
    4,679.40x = 16,680,949.23
  5. Step 5: Solve for x
    x = 16,680,949.23/4,679.40
  6. Step 6: Final answer
    x = 3,564.76

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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.