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Finding the Fourth Proportional to 7,851.97, 10,836.41 and 4,315.87

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Solution

The fourth proportional to 7,851.97, 10,836.41 and 4,315.87 is: 5,956.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851.97 : 10,836.41 = 4,315.87 : x
  2. Step 2: Convert to fraction form
    7,851.97/10,836.41 = 4,315.87/x
  3. Step 3: Cross multiply
    7,851.97x = 10,836.41 × 4,315.87
  4. Step 4: Simplify right side
    7,851.97x = 46,768,488.16
  5. Step 5: Solve for x
    x = 46,768,488.16/7,851.97
  6. Step 6: Final answer
    x = 5,956.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.