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Finding the Fourth Proportional to 8,431.24, 12,638.48 and 4,736.56

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Solution

The fourth proportional to 8,431.24, 12,638.48 and 4,736.56 is: 7,100.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,431.24 : 12,638.48 = 4,736.56 : x
  2. Step 2: Convert to fraction form
    8,431.24/12,638.48 = 4,736.56/x
  3. Step 3: Cross multiply
    8,431.24x = 12,638.48 × 4,736.56
  4. Step 4: Simplify right side
    8,431.24x = 59,862,918.83
  5. Step 5: Solve for x
    x = 59,862,918.83/8,431.24
  6. Step 6: Final answer
    x = 7,100.13

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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.