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Finding the Fourth Proportional to 6,507.68, 9,759.36 and 2,124.16

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Solution

The fourth proportional to 6,507.68, 9,759.36 and 2,124.16 is: 3,185.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.68 : 9,759.36 = 2,124.16 : x
  2. Step 2: Convert to fraction form
    6,507.68/9,759.36 = 2,124.16/x
  3. Step 3: Cross multiply
    6,507.68x = 9,759.36 × 2,124.16
  4. Step 4: Simplify right side
    6,507.68x = 20,730,442.14
  5. Step 5: Solve for x
    x = 20,730,442.14/6,507.68
  6. Step 6: Final answer
    x = 3,185.53

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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.