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Finding the Fourth Proportional to 9,871.82, 13,623.93 and 5,624.21

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Solution

The fourth proportional to 9,871.82, 13,623.93 and 5,624.21 is: 7,761.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,871.82 : 13,623.93 = 5,624.21 : x
  2. Step 2: Convert to fraction form
    9,871.82/13,623.93 = 5,624.21/x
  3. Step 3: Cross multiply
    9,871.82x = 13,623.93 × 5,624.21
  4. Step 4: Simplify right side
    9,871.82x = 76,623,815.22
  5. Step 5: Solve for x
    x = 76,623,815.22/9,871.82
  6. Step 6: Final answer
    x = 7,761.87

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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.