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Finding the Fourth Proportional to 3,209, 4,813.64 and 1,017.89

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Solution

The fourth proportional to 3,209, 4,813.64 and 1,017.89 is: 1,526.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209 : 4,813.64 = 1,017.89 : x
  2. Step 2: Convert to fraction form
    3,209/4,813.64 = 1,017.89/x
  3. Step 3: Cross multiply
    3,209x = 4,813.64 × 1,017.89
  4. Step 4: Simplify right side
    3,209x = 4,899,756.02
  5. Step 5: Solve for x
    x = 4,899,756.02/3,209
  6. Step 6: Final answer
    x = 1,526.88

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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.