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Finding the Fourth Proportional to 4,551.99, 6,828.18 and 1,778.40

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Solution

The fourth proportional to 4,551.99, 6,828.18 and 1,778.40 is: 2,667.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,551.99 : 6,828.18 = 1,778.40 : x
  2. Step 2: Convert to fraction form
    4,551.99/6,828.18 = 1,778.40/x
  3. Step 3: Cross multiply
    4,551.99x = 6,828.18 × 1,778.40
  4. Step 4: Simplify right side
    4,551.99x = 12,143,235.31
  5. Step 5: Solve for x
    x = 12,143,235.31/4,551.99
  6. Step 6: Final answer
    x = 2,667.68

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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.