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Finding the Fourth Proportional to 4,258.83, 6,389 and 1,484.68

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Solution

The fourth proportional to 4,258.83, 6,389 and 1,484.68 is: 2,227.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,258.83 : 6,389 = 1,484.68 : x
  2. Step 2: Convert to fraction form
    4,258.83/6,389 = 1,484.68/x
  3. Step 3: Cross multiply
    4,258.83x = 6,389 × 1,484.68
  4. Step 4: Simplify right side
    4,258.83x = 9,485,620.52
  5. Step 5: Solve for x
    x = 9,485,620.52/4,258.83
  6. Step 6: Final answer
    x = 2,227.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.