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Finding the Fourth Proportional to 11,745.92, 16,209.34 and 7,030.20

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Solution

The fourth proportional to 11,745.92, 16,209.34 and 7,030.20 is: 9,701.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,745.92 : 16,209.34 = 7,030.20 : x
  2. Step 2: Convert to fraction form
    11,745.92/16,209.34 = 7,030.20/x
  3. Step 3: Cross multiply
    11,745.92x = 16,209.34 × 7,030.20
  4. Step 4: Simplify right side
    11,745.92x = 113,954,902.07
  5. Step 5: Solve for x
    x = 113,954,902.07/11,745.92
  6. Step 6: Final answer
    x = 9,701.66

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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.