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Finding the Fourth Proportional to 6,858.87, 10,271.90 and 6,514.42

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Solution

The fourth proportional to 6,858.87, 10,271.90 and 6,514.42 is: 9,756.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,858.87 : 10,271.90 = 6,514.42 : x
  2. Step 2: Convert to fraction form
    6,858.87/10,271.90 = 6,514.42/x
  3. Step 3: Cross multiply
    6,858.87x = 10,271.90 × 6,514.42
  4. Step 4: Simplify right side
    6,858.87x = 66,915,461.40
  5. Step 5: Solve for x
    x = 66,915,461.40/6,858.87
  6. Step 6: Final answer
    x = 9,756.05

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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.