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Finding the Fourth Proportional to 5,804.64, 8,706.84 and 1,422.12

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Solution

The fourth proportional to 5,804.64, 8,706.84 and 1,422.12 is: 2,133.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,804.64 : 8,706.84 = 1,422.12 : x
  2. Step 2: Convert to fraction form
    5,804.64/8,706.84 = 1,422.12/x
  3. Step 3: Cross multiply
    5,804.64x = 8,706.84 × 1,422.12
  4. Step 4: Simplify right side
    5,804.64x = 12,382,171.30
  5. Step 5: Solve for x
    x = 12,382,171.30/5,804.64
  6. Step 6: Final answer
    x = 2,133.15

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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.