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Finding the Fourth Proportional to 11,603.96, 17,378.10 and 6,658.64

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Solution

The fourth proportional to 11,603.96, 17,378.10 and 6,658.64 is: 9,971.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,603.96 : 17,378.10 = 6,658.64 : x
  2. Step 2: Convert to fraction form
    11,603.96/17,378.10 = 6,658.64/x
  3. Step 3: Cross multiply
    11,603.96x = 17,378.10 × 6,658.64
  4. Step 4: Simplify right side
    11,603.96x = 115,714,511.78
  5. Step 5: Solve for x
    x = 115,714,511.78/11,603.96
  6. Step 6: Final answer
    x = 9,971.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.