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Finding the Fourth Proportional to 46,384, 69,576 and 21,760

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Solution

The fourth proportional to 46,384, 69,576 and 21,760 is: 32,640

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,384 : 69,576 = 21,760 : x
  2. Step 2: Convert to fraction form
    46,384/69,576 = 21,760/x
  3. Step 3: Cross multiply
    46,384x = 69,576 × 21,760
  4. Step 4: Simplify right side
    46,384x = 1,513,973,760
  5. Step 5: Solve for x
    x = 1,513,973,760/46,384
  6. Step 6: Final answer
    x = 32,640

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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.