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Finding the Fourth Proportional to 5,231.42, 7,847.63 and 1,721.45

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Solution

The fourth proportional to 5,231.42, 7,847.63 and 1,721.45 is: 2,582.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,231.42 : 7,847.63 = 1,721.45 : x
  2. Step 2: Convert to fraction form
    5,231.42/7,847.63 = 1,721.45/x
  3. Step 3: Cross multiply
    5,231.42x = 7,847.63 × 1,721.45
  4. Step 4: Simplify right side
    5,231.42x = 13,509,254.82
  5. Step 5: Solve for x
    x = 13,509,254.82/5,231.42
  6. Step 6: Final answer
    x = 2,582.33

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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.