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Finding the Fourth Proportional to 11,603.20, 16,005.78 and 7,346.44

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Solution

The fourth proportional to 11,603.20, 16,005.78 and 7,346.44 is: 10,133.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,603.20 : 16,005.78 = 7,346.44 : x
  2. Step 2: Convert to fraction form
    11,603.20/16,005.78 = 7,346.44/x
  3. Step 3: Cross multiply
    11,603.20x = 16,005.78 × 7,346.44
  4. Step 4: Simplify right side
    11,603.20x = 117,585,502.42
  5. Step 5: Solve for x
    x = 117,585,502.42/11,603.20
  6. Step 6: Final answer
    x = 10,133.89

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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.