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Finding the Fourth Proportional to 1,917.59, 2,874.55 and 929.79

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Solution

The fourth proportional to 1,917.59, 2,874.55 and 929.79 is: 1,393.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,917.59 : 2,874.55 = 929.79 : x
  2. Step 2: Convert to fraction form
    1,917.59/2,874.55 = 929.79/x
  3. Step 3: Cross multiply
    1,917.59x = 2,874.55 × 929.79
  4. Step 4: Simplify right side
    1,917.59x = 2,672,727.84
  5. Step 5: Solve for x
    x = 2,672,727.84/1,917.59
  6. Step 6: Final answer
    x = 1,393.80

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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.