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Finding the Fourth Proportional to 12,897.58, 17,795.55 and 8,180.14

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Solution

The fourth proportional to 12,897.58, 17,795.55 and 8,180.14 is: 11,286.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,897.58 : 17,795.55 = 8,180.14 : x
  2. Step 2: Convert to fraction form
    12,897.58/17,795.55 = 8,180.14/x
  3. Step 3: Cross multiply
    12,897.58x = 17,795.55 × 8,180.14
  4. Step 4: Simplify right side
    12,897.58x = 145,570,090.38
  5. Step 5: Solve for x
    x = 145,570,090.38/12,897.58
  6. Step 6: Final answer
    x = 11,286.62

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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.