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Finding the Fourth Proportional to 12,722.64, 17,557.44 and 7,686.84

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Solution

The fourth proportional to 12,722.64, 17,557.44 and 7,686.84 is: 10,607.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,722.64 : 17,557.44 = 7,686.84 : x
  2. Step 2: Convert to fraction form
    12,722.64/17,557.44 = 7,686.84/x
  3. Step 3: Cross multiply
    12,722.64x = 17,557.44 × 7,686.84
  4. Step 4: Simplify right side
    12,722.64x = 134,961,232.09
  5. Step 5: Solve for x
    x = 134,961,232.09/12,722.64
  6. Step 6: Final answer
    x = 10,607.96

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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.