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Finding the Fourth Proportional to 12,778.92, 17,646.50 and 9,629.64

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Solution

The fourth proportional to 12,778.92, 17,646.50 and 9,629.64 is: 13,297.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,778.92 : 17,646.50 = 9,629.64 : x
  2. Step 2: Convert to fraction form
    12,778.92/17,646.50 = 9,629.64/x
  3. Step 3: Cross multiply
    12,778.92x = 17,646.50 × 9,629.64
  4. Step 4: Simplify right side
    12,778.92x = 169,929,442.26
  5. Step 5: Solve for x
    x = 169,929,442.26/12,778.92
  6. Step 6: Final answer
    x = 13,297.64

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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.