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Finding the Fourth Proportional to 30,899.40, 46,346.40 and 10,122.90

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Solution

The fourth proportional to 30,899.40, 46,346.40 and 10,122.90 is: 15,183.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,899.40 : 46,346.40 = 10,122.90 : x
  2. Step 2: Convert to fraction form
    30,899.40/46,346.40 = 10,122.90/x
  3. Step 3: Cross multiply
    30,899.40x = 46,346.40 × 10,122.90
  4. Step 4: Simplify right side
    30,899.40x = 469,159,972.56
  5. Step 5: Solve for x
    x = 469,159,972.56/30,899.40
  6. Step 6: Final answer
    x = 15,183.47

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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.