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Finding the Fourth Proportional to 5,486, 7,570.70 and 3,832.88

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Solution

The fourth proportional to 5,486, 7,570.70 and 3,832.88 is: 5,289.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,486 : 7,570.70 = 3,832.88 : x
  2. Step 2: Convert to fraction form
    5,486/7,570.70 = 3,832.88/x
  3. Step 3: Cross multiply
    5,486x = 7,570.70 × 3,832.88
  4. Step 4: Simplify right side
    5,486x = 29,017,584.62
  5. Step 5: Solve for x
    x = 29,017,584.62/5,486
  6. Step 6: Final answer
    x = 5,289.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.