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Finding the Fourth Proportional to 4,156, 5,736.02 and 2,478.38

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Solution

The fourth proportional to 4,156, 5,736.02 and 2,478.38 is: 3,420.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,156 : 5,736.02 = 2,478.38 : x
  2. Step 2: Convert to fraction form
    4,156/5,736.02 = 2,478.38/x
  3. Step 3: Cross multiply
    4,156x = 5,736.02 × 2,478.38
  4. Step 4: Simplify right side
    4,156x = 14,216,037.25
  5. Step 5: Solve for x
    x = 14,216,037.25/4,156
  6. Step 6: Final answer
    x = 3,420.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.