Home / 2,478.14-3,715.38-917.86

Finding the Fourth Proportional to 2,478.14, 3,715.38 and 917.86

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Solution

The fourth proportional to 2,478.14, 3,715.38 and 917.86 is: 1,376.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.14 : 3,715.38 = 917.86 : x
  2. Step 2: Convert to fraction form
    2,478.14/3,715.38 = 917.86/x
  3. Step 3: Cross multiply
    2,478.14x = 3,715.38 × 917.86
  4. Step 4: Simplify right side
    2,478.14x = 3,410,185.75
  5. Step 5: Solve for x
    x = 3,410,185.75/2,478.14
  6. Step 6: Final answer
    x = 1,376.10

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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.