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Finding the Fourth Proportional to 6,507.69, 9,763.58 and 2,124.12

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Solution

The fourth proportional to 6,507.69, 9,763.58 and 2,124.12 is: 3,186.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.69 : 9,763.58 = 2,124.12 : x
  2. Step 2: Convert to fraction form
    6,507.69/9,763.58 = 2,124.12/x
  3. Step 3: Cross multiply
    6,507.69x = 9,763.58 × 2,124.12
  4. Step 4: Simplify right side
    6,507.69x = 20,739,015.55
  5. Step 5: Solve for x
    x = 20,739,015.55/6,507.69
  6. Step 6: Final answer
    x = 3,186.85

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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.