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Finding the Fourth Proportional to 8,897.36, 13,346.26 and 6,821.12

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Solution

The fourth proportional to 8,897.36, 13,346.26 and 6,821.12 is: 10,231.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,897.36 : 13,346.26 = 6,821.12 : x
  2. Step 2: Convert to fraction form
    8,897.36/13,346.26 = 6,821.12/x
  3. Step 3: Cross multiply
    8,897.36x = 13,346.26 × 6,821.12
  4. Step 4: Simplify right side
    8,897.36x = 91,036,441.01
  5. Step 5: Solve for x
    x = 91,036,441.01/8,897.36
  6. Step 6: Final answer
    x = 10,231.85

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1.5x scale

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.