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Finding the Fourth Proportional to 6,388.17, 9,582.21 and 1,771.17

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Solution

The fourth proportional to 6,388.17, 9,582.21 and 1,771.17 is: 2,656.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,388.17 : 9,582.21 = 1,771.17 : x
  2. Step 2: Convert to fraction form
    6,388.17/9,582.21 = 1,771.17/x
  3. Step 3: Cross multiply
    6,388.17x = 9,582.21 × 1,771.17
  4. Step 4: Simplify right side
    6,388.17x = 16,971,722.89
  5. Step 5: Solve for x
    x = 16,971,722.89/6,388.17
  6. Step 6: Final answer
    x = 2,656.74

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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.