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Finding the Fourth Proportional to 12,109.70, 16,711.53 and 7,329.58

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Solution

The fourth proportional to 12,109.70, 16,711.53 and 7,329.58 is: 10,114.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,109.70 : 16,711.53 = 7,329.58 : x
  2. Step 2: Convert to fraction form
    12,109.70/16,711.53 = 7,329.58/x
  3. Step 3: Cross multiply
    12,109.70x = 16,711.53 × 7,329.58
  4. Step 4: Simplify right side
    12,109.70x = 122,488,454.28
  5. Step 5: Solve for x
    x = 122,488,454.28/12,109.70
  6. Step 6: Final answer
    x = 10,114.91

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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.