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Finding the Fourth Proportional to 12,772.99, 17,628.84 and 7,466.78

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Solution

The fourth proportional to 12,772.99, 17,628.84 and 7,466.78 is: 10,305.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,772.99 : 17,628.84 = 7,466.78 : x
  2. Step 2: Convert to fraction form
    12,772.99/17,628.84 = 7,466.78/x
  3. Step 3: Cross multiply
    12,772.99x = 17,628.84 × 7,466.78
  4. Step 4: Simplify right side
    12,772.99x = 131,630,714.01
  5. Step 5: Solve for x
    x = 131,630,714.01/12,772.99
  6. Step 6: Final answer
    x = 10,305.39

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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.