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Finding the Fourth Proportional to 30,915, 46,372.50 and 10,138.50

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Solution

The fourth proportional to 30,915, 46,372.50 and 10,138.50 is: 15,207.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,915 : 46,372.50 = 10,138.50 : x
  2. Step 2: Convert to fraction form
    30,915/46,372.50 = 10,138.50/x
  3. Step 3: Cross multiply
    30,915x = 46,372.50 × 10,138.50
  4. Step 4: Simplify right side
    30,915x = 470,147,591.25
  5. Step 5: Solve for x
    x = 470,147,591.25/30,915
  6. Step 6: Final answer
    x = 15,207.75

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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.