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Finding the Fourth Proportional to 12,424.63, 17,149.84 and 7,646.03

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Solution

The fourth proportional to 12,424.63, 17,149.84 and 7,646.03 is: 10,553.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,424.63 : 17,149.84 = 7,646.03 : x
  2. Step 2: Convert to fraction form
    12,424.63/17,149.84 = 7,646.03/x
  3. Step 3: Cross multiply
    12,424.63x = 17,149.84 × 7,646.03
  4. Step 4: Simplify right side
    12,424.63x = 131,128,191.14
  5. Step 5: Solve for x
    x = 131,128,191.14/12,424.63
  6. Step 6: Final answer
    x = 10,553.89

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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.