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Finding the Fourth Proportional to 4,815.20, 7,209.12 and 4,815.20

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Solution

The fourth proportional to 4,815.20, 7,209.12 and 4,815.20 is: 7,209.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,815.20 : 7,209.12 = 4,815.20 : x
  2. Step 2: Convert to fraction form
    4,815.20/7,209.12 = 4,815.20/x
  3. Step 3: Cross multiply
    4,815.20x = 7,209.12 × 4,815.20
  4. Step 4: Simplify right side
    4,815.20x = 34,713,354.62
  5. Step 5: Solve for x
    x = 34,713,354.62/4,815.20
  6. Step 6: Final answer
    x = 7,209.12

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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.