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Finding the Fourth Proportional to 5,209.29, 7,813.80 and 1,651.64

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Solution

The fourth proportional to 5,209.29, 7,813.80 and 1,651.64 is: 2,477.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.29 : 7,813.80 = 1,651.64 : x
  2. Step 2: Convert to fraction form
    5,209.29/7,813.80 = 1,651.64/x
  3. Step 3: Cross multiply
    5,209.29x = 7,813.80 × 1,651.64
  4. Step 4: Simplify right side
    5,209.29x = 12,905,545.56
  5. Step 5: Solve for x
    x = 12,905,545.56/5,209.29
  6. Step 6: Final answer
    x = 2,477.41

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1.5x scale

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.