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Finding the Fourth Proportional to 5,137.94, 7,706.90 and 1,242.33

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Solution

The fourth proportional to 5,137.94, 7,706.90 and 1,242.33 is: 1,863.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,137.94 : 7,706.90 = 1,242.33 : x
  2. Step 2: Convert to fraction form
    5,137.94/7,706.90 = 1,242.33/x
  3. Step 3: Cross multiply
    5,137.94x = 7,706.90 × 1,242.33
  4. Step 4: Simplify right side
    5,137.94x = 9,574,506.87
  5. Step 5: Solve for x
    x = 9,574,506.87/5,137.94
  6. Step 6: Final answer
    x = 1,863.49

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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.