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Finding the Fourth Proportional to 1,917.56, 2,877.02 and 944.35

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Solution

The fourth proportional to 1,917.56, 2,877.02 and 944.35 is: 1,416.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,917.56 : 2,877.02 = 944.35 : x
  2. Step 2: Convert to fraction form
    1,917.56/2,877.02 = 944.35/x
  3. Step 3: Cross multiply
    1,917.56x = 2,877.02 × 944.35
  4. Step 4: Simplify right side
    1,917.56x = 2,716,905.46
  5. Step 5: Solve for x
    x = 2,716,905.46/1,917.56
  6. Step 6: Final answer
    x = 1,416.85

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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.