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Finding the Fourth Proportional to 12,800.96, 17,659.52 and 7,493.36

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Solution

The fourth proportional to 12,800.96, 17,659.52 and 7,493.36 is: 10,337.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,800.96 : 17,659.52 = 7,493.36 : x
  2. Step 2: Convert to fraction form
    12,800.96/17,659.52 = 7,493.36/x
  3. Step 3: Cross multiply
    12,800.96x = 17,659.52 × 7,493.36
  4. Step 4: Simplify right side
    12,800.96x = 132,329,140.79
  5. Step 5: Solve for x
    x = 132,329,140.79/12,800.96
  6. Step 6: Final answer
    x = 10,337.44

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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.