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Finding the Fourth Proportional to 4,703.76, 6,486.68 and 2,815

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Solution

The fourth proportional to 4,703.76, 6,486.68 and 2,815 is: 3,882.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,703.76 : 6,486.68 = 2,815 : x
  2. Step 2: Convert to fraction form
    4,703.76/6,486.68 = 2,815/x
  3. Step 3: Cross multiply
    4,703.76x = 6,486.68 × 2,815
  4. Step 4: Simplify right side
    4,703.76x = 18,260,004.20
  5. Step 5: Solve for x
    x = 18,260,004.20/4,703.76
  6. Step 6: Final answer
    x = 3,882.00

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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.