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Finding the Fourth Proportional to 5,624.82, 7,762.83 and 3,387.66

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Solution

The fourth proportional to 5,624.82, 7,762.83 and 3,387.66 is: 4,675.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,624.82 : 7,762.83 = 3,387.66 : x
  2. Step 2: Convert to fraction form
    5,624.82/7,762.83 = 3,387.66/x
  3. Step 3: Cross multiply
    5,624.82x = 7,762.83 × 3,387.66
  4. Step 4: Simplify right side
    5,624.82x = 26,297,828.68
  5. Step 5: Solve for x
    x = 26,297,828.68/5,624.82
  6. Step 6: Final answer
    x = 4,675.32

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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.