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Finding the Fourth Proportional to 12,404.76, 17,121.52 and 7,102.64

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Solution

The fourth proportional to 12,404.76, 17,121.52 and 7,102.64 is: 9,803.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,404.76 : 17,121.52 = 7,102.64 : x
  2. Step 2: Convert to fraction form
    12,404.76/17,121.52 = 7,102.64/x
  3. Step 3: Cross multiply
    12,404.76x = 17,121.52 × 7,102.64
  4. Step 4: Simplify right side
    12,404.76x = 121,607,992.81
  5. Step 5: Solve for x
    x = 121,607,992.81/12,404.76
  6. Step 6: Final answer
    x = 9,803.33

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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.