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Finding the Fourth Proportional to 5,209.20, 7,813.80 and 4,966.20

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Solution

The fourth proportional to 5,209.20, 7,813.80 and 4,966.20 is: 7,449.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.20 : 7,813.80 = 4,966.20 : x
  2. Step 2: Convert to fraction form
    5,209.20/7,813.80 = 4,966.20/x
  3. Step 3: Cross multiply
    5,209.20x = 7,813.80 × 4,966.20
  4. Step 4: Simplify right side
    5,209.20x = 38,804,893.56
  5. Step 5: Solve for x
    x = 38,804,893.56/5,209.20
  6. Step 6: Final answer
    x = 7,449.30

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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.