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Finding the Fourth Proportional to 4,914.61, 7,371.78 and 1,451.86

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Solution

The fourth proportional to 4,914.61, 7,371.78 and 1,451.86 is: 2,177.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,914.61 : 7,371.78 = 1,451.86 : x
  2. Step 2: Convert to fraction form
    4,914.61/7,371.78 = 1,451.86/x
  3. Step 3: Cross multiply
    4,914.61x = 7,371.78 × 1,451.86
  4. Step 4: Simplify right side
    4,914.61x = 10,702,792.51
  5. Step 5: Solve for x
    x = 10,702,792.51/4,914.61
  6. Step 6: Final answer
    x = 2,177.75

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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.