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Finding the Fourth Proportional to 5,720.50, 8,580.75 and 1,825.21

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Solution

The fourth proportional to 5,720.50, 8,580.75 and 1,825.21 is: 2,737.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,720.50 : 8,580.75 = 1,825.21 : x
  2. Step 2: Convert to fraction form
    5,720.50/8,580.75 = 1,825.21/x
  3. Step 3: Cross multiply
    5,720.50x = 8,580.75 × 1,825.21
  4. Step 4: Simplify right side
    5,720.50x = 15,661,670.71
  5. Step 5: Solve for x
    x = 15,661,670.71/5,720.50
  6. Step 6: Final answer
    x = 2,737.82

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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.