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Finding the Fourth Proportional to 4,429.60, 6,646.80 and 1,964.80

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Solution

The fourth proportional to 4,429.60, 6,646.80 and 1,964.80 is: 2,948.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,429.60 : 6,646.80 = 1,964.80 : x
  2. Step 2: Convert to fraction form
    4,429.60/6,646.80 = 1,964.80/x
  3. Step 3: Cross multiply
    4,429.60x = 6,646.80 × 1,964.80
  4. Step 4: Simplify right side
    4,429.60x = 13,059,632.64
  5. Step 5: Solve for x
    x = 13,059,632.64/4,429.60
  6. Step 6: Final answer
    x = 2,948.26

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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.