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Finding the Fourth Proportional to 4,921.71, 7,383.78 and 1,458.96

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Solution

The fourth proportional to 4,921.71, 7,383.78 and 1,458.96 is: 2,188.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,921.71 : 7,383.78 = 1,458.96 : x
  2. Step 2: Convert to fraction form
    4,921.71/7,383.78 = 1,458.96/x
  3. Step 3: Cross multiply
    4,921.71x = 7,383.78 × 1,458.96
  4. Step 4: Simplify right side
    4,921.71x = 10,772,639.67
  5. Step 5: Solve for x
    x = 10,772,639.67/4,921.71
  6. Step 6: Final answer
    x = 2,188.80

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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.