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Finding the Fourth Proportional to 4,917.51, 7,373.52 and 1,628.80

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Solution

The fourth proportional to 4,917.51, 7,373.52 and 1,628.80 is: 2,442.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,917.51 : 7,373.52 = 1,628.80 : x
  2. Step 2: Convert to fraction form
    4,917.51/7,373.52 = 1,628.80/x
  3. Step 3: Cross multiply
    4,917.51x = 7,373.52 × 1,628.80
  4. Step 4: Simplify right side
    4,917.51x = 12,009,989.38
  5. Step 5: Solve for x
    x = 12,009,989.38/4,917.51
  6. Step 6: Final answer
    x = 2,442.29

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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.