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Finding the Fourth Proportional to 9,640.68, 13,300.20 and 6,497.88

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Solution

The fourth proportional to 9,640.68, 13,300.20 and 6,497.88 is: 8,964.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,640.68 : 13,300.20 = 6,497.88 : x
  2. Step 2: Convert to fraction form
    9,640.68/13,300.20 = 6,497.88/x
  3. Step 3: Cross multiply
    9,640.68x = 13,300.20 × 6,497.88
  4. Step 4: Simplify right side
    9,640.68x = 86,423,103.58
  5. Step 5: Solve for x
    x = 86,423,103.58/9,640.68
  6. Step 6: Final answer
    x = 8,964.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.