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Finding the Fourth Proportional to 30,891.50, 46,337.66 and 10,115

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Solution

The fourth proportional to 30,891.50, 46,337.66 and 10,115 is: 15,172.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,891.50 : 46,337.66 = 10,115 : x
  2. Step 2: Convert to fraction form
    30,891.50/46,337.66 = 10,115/x
  3. Step 3: Cross multiply
    30,891.50x = 46,337.66 × 10,115
  4. Step 4: Simplify right side
    30,891.50x = 468,705,430.90
  5. Step 5: Solve for x
    x = 468,705,430.90/30,891.50
  6. Step 6: Final answer
    x = 15,172.63

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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.