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Finding the Fourth Proportional to 4,719.28, 7,078.88 and 1,209.28

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Solution

The fourth proportional to 4,719.28, 7,078.88 and 1,209.28 is: 1,813.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,719.28 : 7,078.88 = 1,209.28 : x
  2. Step 2: Convert to fraction form
    4,719.28/7,078.88 = 1,209.28/x
  3. Step 3: Cross multiply
    4,719.28x = 7,078.88 × 1,209.28
  4. Step 4: Simplify right side
    4,719.28x = 8,560,348.01
  5. Step 5: Solve for x
    x = 8,560,348.01/4,719.28
  6. Step 6: Final answer
    x = 1,813.91

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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.