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Finding the Fourth Proportional to 12,782.38, 17,640.07 and 6,961.88

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Solution

The fourth proportional to 12,782.38, 17,640.07 and 6,961.88 is: 9,607.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,782.38 : 17,640.07 = 6,961.88 : x
  2. Step 2: Convert to fraction form
    12,782.38/17,640.07 = 6,961.88/x
  3. Step 3: Cross multiply
    12,782.38x = 17,640.07 × 6,961.88
  4. Step 4: Simplify right side
    12,782.38x = 122,808,050.53
  5. Step 5: Solve for x
    x = 122,808,050.53/12,782.38
  6. Step 6: Final answer
    x = 9,607.60

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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.