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Finding the Fourth Proportional to 9,106.70, 13,649.79 and 4,651.90

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Solution

The fourth proportional to 9,106.70, 13,649.79 and 4,651.90 is: 6,972.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,106.70 : 13,649.79 = 4,651.90 : x
  2. Step 2: Convert to fraction form
    9,106.70/13,649.79 = 4,651.90/x
  3. Step 3: Cross multiply
    9,106.70x = 13,649.79 × 4,651.90
  4. Step 4: Simplify right side
    9,106.70x = 63,497,458.10
  5. Step 5: Solve for x
    x = 63,497,458.10/9,106.70
  6. Step 6: Final answer
    x = 6,972.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.