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Finding the Fourth Proportional to 5,714.28, 7,886.97 and 3,618

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Solution

The fourth proportional to 5,714.28, 7,886.97 and 3,618 is: 4,993.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.28 : 7,886.97 = 3,618 : x
  2. Step 2: Convert to fraction form
    5,714.28/7,886.97 = 3,618/x
  3. Step 3: Cross multiply
    5,714.28x = 7,886.97 × 3,618
  4. Step 4: Simplify right side
    5,714.28x = 28,535,057.46
  5. Step 5: Solve for x
    x = 28,535,057.46/5,714.28
  6. Step 6: Final answer
    x = 4,993.64

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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.