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Finding the Fourth Proportional to 4,921.61, 7,383.53 and 1,801.61

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Solution

The fourth proportional to 4,921.61, 7,383.53 and 1,801.61 is: 2,702.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,921.61 : 7,383.53 = 1,801.61 : x
  2. Step 2: Convert to fraction form
    4,921.61/7,383.53 = 1,801.61/x
  3. Step 3: Cross multiply
    4,921.61x = 7,383.53 × 1,801.61
  4. Step 4: Simplify right side
    4,921.61x = 13,302,209.07
  5. Step 5: Solve for x
    x = 13,302,209.07/4,921.61
  6. Step 6: Final answer
    x = 2,702.82

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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.