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Finding the Fourth Proportional to 8,424.58, 12,537.38 and 8,144.28

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Solution

The fourth proportional to 8,424.58, 12,537.38 and 8,144.28 is: 12,120.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,424.58 : 12,537.38 = 8,144.28 : x
  2. Step 2: Convert to fraction form
    8,424.58/12,537.38 = 8,144.28/x
  3. Step 3: Cross multiply
    8,424.58x = 12,537.38 × 8,144.28
  4. Step 4: Simplify right side
    8,424.58x = 102,107,933.19
  5. Step 5: Solve for x
    x = 102,107,933.19/8,424.58
  6. Step 6: Final answer
    x = 12,120.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.