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Finding the Fourth Proportional to 4,214.68, 5,815.74 and 2,815

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Solution

The fourth proportional to 4,214.68, 5,815.74 and 2,815 is: 3,884.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,214.68 : 5,815.74 = 2,815 : x
  2. Step 2: Convert to fraction form
    4,214.68/5,815.74 = 2,815/x
  3. Step 3: Cross multiply
    4,214.68x = 5,815.74 × 2,815
  4. Step 4: Simplify right side
    4,214.68x = 16,371,308.10
  5. Step 5: Solve for x
    x = 16,371,308.10/4,214.68
  6. Step 6: Final answer
    x = 3,884.35

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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.