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Finding the Fourth Proportional to 5,675.20, 7,836.75 and 5,489.30

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Solution

The fourth proportional to 5,675.20, 7,836.75 and 5,489.30 is: 7,580.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,675.20 : 7,836.75 = 5,489.30 : x
  2. Step 2: Convert to fraction form
    5,675.20/7,836.75 = 5,489.30/x
  3. Step 3: Cross multiply
    5,675.20x = 7,836.75 × 5,489.30
  4. Step 4: Simplify right side
    5,675.20x = 43,018,291.37
  5. Step 5: Solve for x
    x = 43,018,291.37/5,675.20
  6. Step 6: Final answer
    x = 7,580.05

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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.