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Finding the Fourth Proportional to 11,907.68, 16,429.34 and 7,125.69

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Solution

The fourth proportional to 11,907.68, 16,429.34 and 7,125.69 is: 9,831.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,907.68 : 16,429.34 = 7,125.69 : x
  2. Step 2: Convert to fraction form
    11,907.68/16,429.34 = 7,125.69/x
  3. Step 3: Cross multiply
    11,907.68x = 16,429.34 × 7,125.69
  4. Step 4: Simplify right side
    11,907.68x = 117,070,383.74
  5. Step 5: Solve for x
    x = 117,070,383.74/11,907.68
  6. Step 6: Final answer
    x = 9,831.50

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Half scale
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Double scale
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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.