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Finding the Fourth Proportional to 5,092.57, 7,636.29 and 1,805.20

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Solution

The fourth proportional to 5,092.57, 7,636.29 and 1,805.20 is: 2,706.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,092.57 : 7,636.29 = 1,805.20 : x
  2. Step 2: Convert to fraction form
    5,092.57/7,636.29 = 1,805.20/x
  3. Step 3: Cross multiply
    5,092.57x = 7,636.29 × 1,805.20
  4. Step 4: Simplify right side
    5,092.57x = 13,785,030.71
  5. Step 5: Solve for x
    x = 13,785,030.71/5,092.57
  6. Step 6: Final answer
    x = 2,706.89

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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.