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Finding the Fourth Proportional to 5,158, 7,738.28 and 1,510

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Solution

The fourth proportional to 5,158, 7,738.28 and 1,510 is: 2,265.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,158 : 7,738.28 = 1,510 : x
  2. Step 2: Convert to fraction form
    5,158/7,738.28 = 1,510/x
  3. Step 3: Cross multiply
    5,158x = 7,738.28 × 1,510
  4. Step 4: Simplify right side
    5,158x = 11,684,802.80
  5. Step 5: Solve for x
    x = 11,684,802.80/5,158
  6. Step 6: Final answer
    x = 2,265.37

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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.