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Finding the Fourth Proportional to 9,798.38, 13,512.55 and 7,556.71

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Solution

The fourth proportional to 9,798.38, 13,512.55 and 7,556.71 is: 10,421.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,798.38 : 13,512.55 = 7,556.71 : x
  2. Step 2: Convert to fraction form
    9,798.38/13,512.55 = 7,556.71/x
  3. Step 3: Cross multiply
    9,798.38x = 13,512.55 × 7,556.71
  4. Step 4: Simplify right side
    9,798.38x = 102,110,354.15
  5. Step 5: Solve for x
    x = 102,110,354.15/9,798.38
  6. Step 6: Final answer
    x = 10,421.15

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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.