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Finding the Fourth Proportional to 5,160.57, 7,741 and 1,264.97

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Solution

The fourth proportional to 5,160.57, 7,741 and 1,264.97 is: 1,897.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,160.57 : 7,741 = 1,264.97 : x
  2. Step 2: Convert to fraction form
    5,160.57/7,741 = 1,264.97/x
  3. Step 3: Cross multiply
    5,160.57x = 7,741 × 1,264.97
  4. Step 4: Simplify right side
    5,160.57x = 9,792,132.77
  5. Step 5: Solve for x
    x = 9,792,132.77/5,160.57
  6. Step 6: Final answer
    x = 1,897.49

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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.