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Finding the Fourth Proportional to 5,684.68, 8,528.10 and 1,790.20

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Solution

The fourth proportional to 5,684.68, 8,528.10 and 1,790.20 is: 2,685.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.68 : 8,528.10 = 1,790.20 : x
  2. Step 2: Convert to fraction form
    5,684.68/8,528.10 = 1,790.20/x
  3. Step 3: Cross multiply
    5,684.68x = 8,528.10 × 1,790.20
  4. Step 4: Simplify right side
    5,684.68x = 15,267,004.62
  5. Step 5: Solve for x
    x = 15,267,004.62/5,684.68
  6. Step 6: Final answer
    x = 2,685.64

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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.