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Finding the Fourth Proportional to 3,646.56, 5,479.92 and 2,923.68

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Solution

The fourth proportional to 3,646.56, 5,479.92 and 2,923.68 is: 4,393.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.56 : 5,479.92 = 2,923.68 : x
  2. Step 2: Convert to fraction form
    3,646.56/5,479.92 = 2,923.68/x
  3. Step 3: Cross multiply
    3,646.56x = 5,479.92 × 2,923.68
  4. Step 4: Simplify right side
    3,646.56x = 16,021,532.51
  5. Step 5: Solve for x
    x = 16,021,532.51/3,646.56
  6. Step 6: Final answer
    x = 4,393.60

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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.