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Finding the Fourth Proportional to 30,861, 46,291.50 and 10,084.50

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Solution

The fourth proportional to 30,861, 46,291.50 and 10,084.50 is: 15,126.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,861 : 46,291.50 = 10,084.50 : x
  2. Step 2: Convert to fraction form
    30,861/46,291.50 = 10,084.50/x
  3. Step 3: Cross multiply
    30,861x = 46,291.50 × 10,084.50
  4. Step 4: Simplify right side
    30,861x = 466,826,631.75
  5. Step 5: Solve for x
    x = 466,826,631.75/30,861
  6. Step 6: Final answer
    x = 15,126.75

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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.