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Finding the Fourth Proportional to 11,603.45, 16,019.63 and 7,631.42

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Solution

The fourth proportional to 11,603.45, 16,019.63 and 7,631.42 is: 10,535.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,603.45 : 16,019.63 = 7,631.42 : x
  2. Step 2: Convert to fraction form
    11,603.45/16,019.63 = 7,631.42/x
  3. Step 3: Cross multiply
    11,603.45x = 16,019.63 × 7,631.42
  4. Step 4: Simplify right side
    11,603.45x = 122,252,444.68
  5. Step 5: Solve for x
    x = 122,252,444.68/11,603.45
  6. Step 6: Final answer
    x = 10,535.87

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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.