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Finding the Fourth Proportional to 8,420.09, 11,618.92 and 8,137.13

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Solution

The fourth proportional to 8,420.09, 11,618.92 and 8,137.13 is: 11,228.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,420.09 : 11,618.92 = 8,137.13 : x
  2. Step 2: Convert to fraction form
    8,420.09/11,618.92 = 8,137.13/x
  3. Step 3: Cross multiply
    8,420.09x = 11,618.92 × 8,137.13
  4. Step 4: Simplify right side
    8,420.09x = 94,544,662.50
  5. Step 5: Solve for x
    x = 94,544,662.50/8,420.09
  6. Step 6: Final answer
    x = 11,228.46

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Half scale
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Double scale
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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.