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Finding the Fourth Proportional to 6,682.68, 10,031.40 and 6,515.10

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Solution

The fourth proportional to 6,682.68, 10,031.40 and 6,515.10 is: 9,779.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,682.68 : 10,031.40 = 6,515.10 : x
  2. Step 2: Convert to fraction form
    6,682.68/10,031.40 = 6,515.10/x
  3. Step 3: Cross multiply
    6,682.68x = 10,031.40 × 6,515.10
  4. Step 4: Simplify right side
    6,682.68x = 65,355,574.14
  5. Step 5: Solve for x
    x = 65,355,574.14/6,682.68
  6. Step 6: Final answer
    x = 9,779.84

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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.