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Finding the Fourth Proportional to 2,917.54, 4,376.88 and 943.66

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Solution

The fourth proportional to 2,917.54, 4,376.88 and 943.66 is: 1,415.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,917.54 : 4,376.88 = 943.66 : x
  2. Step 2: Convert to fraction form
    2,917.54/4,376.88 = 943.66/x
  3. Step 3: Cross multiply
    2,917.54x = 4,376.88 × 943.66
  4. Step 4: Simplify right side
    2,917.54x = 4,130,273.87
  5. Step 5: Solve for x
    x = 4,130,273.87/2,917.54
  6. Step 6: Final answer
    x = 1,415.67

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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.