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Finding the Fourth Proportional to 26,431.48, 39,643.34 and 7,706.48

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Solution

The fourth proportional to 26,431.48, 39,643.34 and 7,706.48 is: 11,558.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,431.48 : 39,643.34 = 7,706.48 : x
  2. Step 2: Convert to fraction form
    26,431.48/39,643.34 = 7,706.48/x
  3. Step 3: Cross multiply
    26,431.48x = 39,643.34 × 7,706.48
  4. Step 4: Simplify right side
    26,431.48x = 305,510,568.31
  5. Step 5: Solve for x
    x = 305,510,568.31/26,431.48
  6. Step 6: Final answer
    x = 11,558.59

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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.