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Finding the Fourth Proportional to 6,507.63, 9,760.64 and 2,124.72

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Solution

The fourth proportional to 6,507.63, 9,760.64 and 2,124.72 is: 3,186.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.63 : 9,760.64 = 2,124.72 : x
  2. Step 2: Convert to fraction form
    6,507.63/9,760.64 = 2,124.72/x
  3. Step 3: Cross multiply
    6,507.63x = 9,760.64 × 2,124.72
  4. Step 4: Simplify right side
    6,507.63x = 20,738,616.40
  5. Step 5: Solve for x
    x = 20,738,616.40/6,507.63
  6. Step 6: Final answer
    x = 3,186.82

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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.