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Finding the Fourth Proportional to 5,656.81, 7,801.63 and 3,640.54

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Solution

The fourth proportional to 5,656.81, 7,801.63 and 3,640.54 is: 5,020.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,656.81 : 7,801.63 = 3,640.54 : x
  2. Step 2: Convert to fraction form
    5,656.81/7,801.63 = 3,640.54/x
  3. Step 3: Cross multiply
    5,656.81x = 7,801.63 × 3,640.54
  4. Step 4: Simplify right side
    5,656.81x = 28,402,146.08
  5. Step 5: Solve for x
    x = 28,402,146.08/5,656.81
  6. Step 6: Final answer
    x = 5,020.88

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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.