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Finding the Fourth Proportional to 9,662.84, 13,327.46 and 6,479.74

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Solution

The fourth proportional to 9,662.84, 13,327.46 and 6,479.74 is: 8,937.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.84 : 13,327.46 = 6,479.74 : x
  2. Step 2: Convert to fraction form
    9,662.84/13,327.46 = 6,479.74/x
  3. Step 3: Cross multiply
    9,662.84x = 13,327.46 × 6,479.74
  4. Step 4: Simplify right side
    9,662.84x = 86,358,409.94
  5. Step 5: Solve for x
    x = 86,358,409.94/9,662.84
  6. Step 6: Final answer
    x = 8,937.17

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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.