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Finding the Fourth Proportional to 21,438.84, 32,169.06 and 9,749.64

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Solution

The fourth proportional to 21,438.84, 32,169.06 and 9,749.64 is: 14,629.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,438.84 : 32,169.06 = 9,749.64 : x
  2. Step 2: Convert to fraction form
    21,438.84/32,169.06 = 9,749.64/x
  3. Step 3: Cross multiply
    21,438.84x = 32,169.06 × 9,749.64
  4. Step 4: Simplify right side
    21,438.84x = 313,636,754.14
  5. Step 5: Solve for x
    x = 313,636,754.14/21,438.84
  6. Step 6: Final answer
    x = 14,629.37

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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.