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Finding the Fourth Proportional to 26,405.96, 39,611 and 7,686.24

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Solution

The fourth proportional to 26,405.96, 39,611 and 7,686.24 is: 11,529.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,405.96 : 39,611 = 7,686.24 : x
  2. Step 2: Convert to fraction form
    26,405.96/39,611 = 7,686.24/x
  3. Step 3: Cross multiply
    26,405.96x = 39,611 × 7,686.24
  4. Step 4: Simplify right side
    26,405.96x = 304,459,652.64
  5. Step 5: Solve for x
    x = 304,459,652.64/26,405.96
  6. Step 6: Final answer
    x = 11,529.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.