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Finding the Fourth Proportional to 4,551.65, 6,827.45 and 1,778.60

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Solution

The fourth proportional to 4,551.65, 6,827.45 and 1,778.60 is: 2,667.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,551.65 : 6,827.45 = 1,778.60 : x
  2. Step 2: Convert to fraction form
    4,551.65/6,827.45 = 1,778.60/x
  3. Step 3: Cross multiply
    4,551.65x = 6,827.45 × 1,778.60
  4. Step 4: Simplify right side
    4,551.65x = 12,143,302.57
  5. Step 5: Solve for x
    x = 12,143,302.57/4,551.65
  6. Step 6: Final answer
    x = 2,667.89

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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.