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Finding the Fourth Proportional to 3,289.66, 4,539.63 and 1,964.25

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Solution

The fourth proportional to 3,289.66, 4,539.63 and 1,964.25 is: 2,710.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,289.66 : 4,539.63 = 1,964.25 : x
  2. Step 2: Convert to fraction form
    3,289.66/4,539.63 = 1,964.25/x
  3. Step 3: Cross multiply
    3,289.66x = 4,539.63 × 1,964.25
  4. Step 4: Simplify right side
    3,289.66x = 8,916,935.71
  5. Step 5: Solve for x
    x = 8,916,935.71/3,289.66
  6. Step 6: Final answer
    x = 2,710.60

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1.5x scale

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.