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Finding the Fourth Proportional to 4,120.84, 6,181.17 and 1,000.86

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Solution

The fourth proportional to 4,120.84, 6,181.17 and 1,000.86 is: 1,501.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,120.84 : 6,181.17 = 1,000.86 : x
  2. Step 2: Convert to fraction form
    4,120.84/6,181.17 = 1,000.86/x
  3. Step 3: Cross multiply
    4,120.84x = 6,181.17 × 1,000.86
  4. Step 4: Simplify right side
    4,120.84x = 6,186,485.81
  5. Step 5: Solve for x
    x = 6,186,485.81/4,120.84
  6. Step 6: Final answer
    x = 1,501.27

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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.