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Finding the Fourth Proportional to 12,596.77, 17,385.24 and 7,221.34

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Solution

The fourth proportional to 12,596.77, 17,385.24 and 7,221.34 is: 9,966.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,596.77 : 17,385.24 = 7,221.34 : x
  2. Step 2: Convert to fraction form
    12,596.77/17,385.24 = 7,221.34/x
  3. Step 3: Cross multiply
    12,596.77x = 17,385.24 × 7,221.34
  4. Step 4: Simplify right side
    12,596.77x = 125,544,729.02
  5. Step 5: Solve for x
    x = 125,544,729.02/12,596.77
  6. Step 6: Final answer
    x = 9,966.42

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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.