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Finding the Fourth Proportional to 20,603.84, 30,911.16 and 8,914.32

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Solution

The fourth proportional to 20,603.84, 30,911.16 and 8,914.32 is: 13,373.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,603.84 : 30,911.16 = 8,914.32 : x
  2. Step 2: Convert to fraction form
    20,603.84/30,911.16 = 8,914.32/x
  3. Step 3: Cross multiply
    20,603.84x = 30,911.16 × 8,914.32
  4. Step 4: Simplify right side
    20,603.84x = 275,551,971.81
  5. Step 5: Solve for x
    x = 275,551,971.81/20,603.84
  6. Step 6: Final answer
    x = 13,373.82

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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.