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Finding the Fourth Proportional to 5,072.70, 7,609.94 and 1,787.70

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Solution

The fourth proportional to 5,072.70, 7,609.94 and 1,787.70 is: 2,681.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,072.70 : 7,609.94 = 1,787.70 : x
  2. Step 2: Convert to fraction form
    5,072.70/7,609.94 = 1,787.70/x
  3. Step 3: Cross multiply
    5,072.70x = 7,609.94 × 1,787.70
  4. Step 4: Simplify right side
    5,072.70x = 13,604,289.74
  5. Step 5: Solve for x
    x = 13,604,289.74/5,072.70
  6. Step 6: Final answer
    x = 2,681.86

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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.