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Finding the Fourth Proportional to 12,678.89, 17,495.52 and 7,012.74

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Solution

The fourth proportional to 12,678.89, 17,495.52 and 7,012.74 is: 9,676.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,678.89 : 17,495.52 = 7,012.74 : x
  2. Step 2: Convert to fraction form
    12,678.89/17,495.52 = 7,012.74/x
  3. Step 3: Cross multiply
    12,678.89x = 17,495.52 × 7,012.74
  4. Step 4: Simplify right side
    12,678.89x = 122,691,410.38
  5. Step 5: Solve for x
    x = 122,691,410.38/12,678.89
  6. Step 6: Final answer
    x = 9,676.83

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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.