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Finding the Fourth Proportional to 4,574, 6,313.56 and 2,918

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Solution

The fourth proportional to 4,574, 6,313.56 and 2,918 is: 4,027.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,574 : 6,313.56 = 2,918 : x
  2. Step 2: Convert to fraction form
    4,574/6,313.56 = 2,918/x
  3. Step 3: Cross multiply
    4,574x = 6,313.56 × 2,918
  4. Step 4: Simplify right side
    4,574x = 18,422,968.08
  5. Step 5: Solve for x
    x = 18,422,968.08/4,574
  6. Step 6: Final answer
    x = 4,027.76

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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.