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Finding the Fourth Proportional to 9,907.20, 13,658.09 and 8,726.22

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Solution

The fourth proportional to 9,907.20, 13,658.09 and 8,726.22 is: 12,029.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,907.20 : 13,658.09 = 8,726.22 : x
  2. Step 2: Convert to fraction form
    9,907.20/13,658.09 = 8,726.22/x
  3. Step 3: Cross multiply
    9,907.20x = 13,658.09 × 8,726.22
  4. Step 4: Simplify right side
    9,907.20x = 119,183,454.49
  5. Step 5: Solve for x
    x = 119,183,454.49/9,907.20
  6. Step 6: Final answer
    x = 12,029.98

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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.