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Finding the Fourth Proportional to 12,800.49, 17,664.60 and 7,494.24

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Solution

The fourth proportional to 12,800.49, 17,664.60 and 7,494.24 is: 10,342.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,800.49 : 17,664.60 = 7,494.24 : x
  2. Step 2: Convert to fraction form
    12,800.49/17,664.60 = 7,494.24/x
  3. Step 3: Cross multiply
    12,800.49x = 17,664.60 × 7,494.24
  4. Step 4: Simplify right side
    12,800.49x = 132,382,751.90
  5. Step 5: Solve for x
    x = 132,382,751.90/12,800.49
  6. Step 6: Final answer
    x = 10,342.01

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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.