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Finding the Fourth Proportional to 2,838.74, 3,917.72 and 1,580.08

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Solution

The fourth proportional to 2,838.74, 3,917.72 and 1,580.08 is: 2,180.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838.74 : 3,917.72 = 1,580.08 : x
  2. Step 2: Convert to fraction form
    2,838.74/3,917.72 = 1,580.08/x
  3. Step 3: Cross multiply
    2,838.74x = 3,917.72 × 1,580.08
  4. Step 4: Simplify right side
    2,838.74x = 6,190,307.25
  5. Step 5: Solve for x
    x = 6,190,307.25/2,838.74
  6. Step 6: Final answer
    x = 2,180.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.