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Finding the Fourth Proportional to 5,470.68, 8,205.84 and 1,772.88

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Solution

The fourth proportional to 5,470.68, 8,205.84 and 1,772.88 is: 2,659.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,470.68 : 8,205.84 = 1,772.88 : x
  2. Step 2: Convert to fraction form
    5,470.68/8,205.84 = 1,772.88/x
  3. Step 3: Cross multiply
    5,470.68x = 8,205.84 × 1,772.88
  4. Step 4: Simplify right side
    5,470.68x = 14,547,969.62
  5. Step 5: Solve for x
    x = 14,547,969.62/5,470.68
  6. Step 6: Final answer
    x = 2,659.26

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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.