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Finding the Fourth Proportional to 10,746, 16,119 and 3,820.50

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Solution

The fourth proportional to 10,746, 16,119 and 3,820.50 is: 5,730.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,746 : 16,119 = 3,820.50 : x
  2. Step 2: Convert to fraction form
    10,746/16,119 = 3,820.50/x
  3. Step 3: Cross multiply
    10,746x = 16,119 × 3,820.50
  4. Step 4: Simplify right side
    10,746x = 61,582,639.50
  5. Step 5: Solve for x
    x = 61,582,639.50/10,746
  6. Step 6: Final answer
    x = 5,730.75

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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.