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Finding the Fourth Proportional to 12,403.12, 18,603.06 and 5,476

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Solution

The fourth proportional to 12,403.12, 18,603.06 and 5,476 is: 8,213.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,403.12 : 18,603.06 = 5,476 : x
  2. Step 2: Convert to fraction form
    12,403.12/18,603.06 = 5,476/x
  3. Step 3: Cross multiply
    12,403.12x = 18,603.06 × 5,476
  4. Step 4: Simplify right side
    12,403.12x = 101,870,356.56
  5. Step 5: Solve for x
    x = 101,870,356.56/12,403.12
  6. Step 6: Final answer
    x = 8,213.28

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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.