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Finding the Fourth Proportional to 5,138, 7,708.08 and 2,060

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Solution

The fourth proportional to 5,138, 7,708.08 and 2,060 is: 3,090.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138 : 7,708.08 = 2,060 : x
  2. Step 2: Convert to fraction form
    5,138/7,708.08 = 2,060/x
  3. Step 3: Cross multiply
    5,138x = 7,708.08 × 2,060
  4. Step 4: Simplify right side
    5,138x = 15,878,644.80
  5. Step 5: Solve for x
    x = 15,878,644.80/5,138
  6. Step 6: Final answer
    x = 3,090.43

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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.