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Finding the Fourth Proportional to 12,835.05, 17,712.44 and 7,798.87

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Solution

The fourth proportional to 12,835.05, 17,712.44 and 7,798.87 is: 10,762.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,835.05 : 17,712.44 = 7,798.87 : x
  2. Step 2: Convert to fraction form
    12,835.05/17,712.44 = 7,798.87/x
  3. Step 3: Cross multiply
    12,835.05x = 17,712.44 × 7,798.87
  4. Step 4: Simplify right side
    12,835.05x = 138,137,016.94
  5. Step 5: Solve for x
    x = 138,137,016.94/12,835.05
  6. Step 6: Final answer
    x = 10,762.48

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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.