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Finding the Fourth Proportional to 46,380, 69,570 and 21,756

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Solution

The fourth proportional to 46,380, 69,570 and 21,756 is: 32,634

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,380 : 69,570 = 21,756 : x
  2. Step 2: Convert to fraction form
    46,380/69,570 = 21,756/x
  3. Step 3: Cross multiply
    46,380x = 69,570 × 21,756
  4. Step 4: Simplify right side
    46,380x = 1,513,564,920
  5. Step 5: Solve for x
    x = 1,513,564,920/46,380
  6. Step 6: Final answer
    x = 32,634

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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.