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Finding the Fourth Proportional to 7,851.42, 10,826.64 and 6,424.38

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Solution

The fourth proportional to 7,851.42, 10,826.64 and 6,424.38 is: 8,858.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851.42 : 10,826.64 = 6,424.38 : x
  2. Step 2: Convert to fraction form
    7,851.42/10,826.64 = 6,424.38/x
  3. Step 3: Cross multiply
    7,851.42x = 10,826.64 × 6,424.38
  4. Step 4: Simplify right side
    7,851.42x = 69,554,449.48
  5. Step 5: Solve for x
    x = 69,554,449.48/7,851.42
  6. Step 6: Final answer
    x = 8,858.84

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1.5x scale

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.