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Finding the Fourth Proportional to 2,917.12, 4,376.40 and 865.12

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Solution

The fourth proportional to 2,917.12, 4,376.40 and 865.12 is: 1,297.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,917.12 : 4,376.40 = 865.12 : x
  2. Step 2: Convert to fraction form
    2,917.12/4,376.40 = 865.12/x
  3. Step 3: Cross multiply
    2,917.12x = 4,376.40 × 865.12
  4. Step 4: Simplify right side
    2,917.12x = 3,786,111.17
  5. Step 5: Solve for x
    x = 3,786,111.17/2,917.12
  6. Step 6: Final answer
    x = 1,297.89

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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.