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Finding the Fourth Proportional to 12,797.58, 17,658.63 and 7,207.50

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Solution

The fourth proportional to 12,797.58, 17,658.63 and 7,207.50 is: 9,945.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,797.58 : 17,658.63 = 7,207.50 : x
  2. Step 2: Convert to fraction form
    12,797.58/17,658.63 = 7,207.50/x
  3. Step 3: Cross multiply
    12,797.58x = 17,658.63 × 7,207.50
  4. Step 4: Simplify right side
    12,797.58x = 127,274,575.73
  5. Step 5: Solve for x
    x = 127,274,575.73/12,797.58
  6. Step 6: Final answer
    x = 9,945.21

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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.