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Finding the Fourth Proportional to 9,284.84, 12,812.84 and 5,305.96

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Solution

The fourth proportional to 9,284.84, 12,812.84 and 5,305.96 is: 7,322.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,284.84 : 12,812.84 = 5,305.96 : x
  2. Step 2: Convert to fraction form
    9,284.84/12,812.84 = 5,305.96/x
  3. Step 3: Cross multiply
    9,284.84x = 12,812.84 × 5,305.96
  4. Step 4: Simplify right side
    9,284.84x = 67,984,416.53
  5. Step 5: Solve for x
    x = 67,984,416.53/9,284.84
  6. Step 6: Final answer
    x = 7,322.09

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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.