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Finding the Fourth Proportional to 9,201.72, 12,698.34 and 5,010

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Solution

The fourth proportional to 9,201.72, 12,698.34 and 5,010 is: 6,913.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.72 : 12,698.34 = 5,010 : x
  2. Step 2: Convert to fraction form
    9,201.72/12,698.34 = 5,010/x
  3. Step 3: Cross multiply
    9,201.72x = 12,698.34 × 5,010
  4. Step 4: Simplify right side
    9,201.72x = 63,618,683.40
  5. Step 5: Solve for x
    x = 63,618,683.40/9,201.72
  6. Step 6: Final answer
    x = 6,913.78

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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.