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Finding the Fourth Proportional to 9,897.96, 13,655.79 and 5,645.97

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Solution

The fourth proportional to 9,897.96, 13,655.79 and 5,645.97 is: 7,789.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897.96 : 13,655.79 = 5,645.97 : x
  2. Step 2: Convert to fraction form
    9,897.96/13,655.79 = 5,645.97/x
  3. Step 3: Cross multiply
    9,897.96x = 13,655.79 × 5,645.97
  4. Step 4: Simplify right side
    9,897.96x = 77,100,180.67
  5. Step 5: Solve for x
    x = 77,100,180.67/9,897.96
  6. Step 6: Final answer
    x = 7,789.50

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1.5x scale

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.