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Finding the Fourth Proportional to 5,322.65, 7,983.97 and 1,624.79

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Solution

The fourth proportional to 5,322.65, 7,983.97 and 1,624.79 is: 2,437.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,322.65 : 7,983.97 = 1,624.79 : x
  2. Step 2: Convert to fraction form
    5,322.65/7,983.97 = 1,624.79/x
  3. Step 3: Cross multiply
    5,322.65x = 7,983.97 × 1,624.79
  4. Step 4: Simplify right side
    5,322.65x = 12,972,290.51
  5. Step 5: Solve for x
    x = 12,972,290.51/5,322.65
  6. Step 6: Final answer
    x = 2,437.19

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Similar ratio
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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.