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Finding the Fourth Proportional to 12,654, 17,462.34 and 7,351.80

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Solution

The fourth proportional to 12,654, 17,462.34 and 7,351.80 is: 10,145.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,654 : 17,462.34 = 7,351.80 : x
  2. Step 2: Convert to fraction form
    12,654/17,462.34 = 7,351.80/x
  3. Step 3: Cross multiply
    12,654x = 17,462.34 × 7,351.80
  4. Step 4: Simplify right side
    12,654x = 128,379,631.21
  5. Step 5: Solve for x
    x = 128,379,631.21/12,654
  6. Step 6: Final answer
    x = 10,145.38

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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.