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Finding the Fourth Proportional to 48,642, 72,963 and 11,706

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Solution

The fourth proportional to 48,642, 72,963 and 11,706 is: 17,559

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,642 : 72,963 = 11,706 : x
  2. Step 2: Convert to fraction form
    48,642/72,963 = 11,706/x
  3. Step 3: Cross multiply
    48,642x = 72,963 × 11,706
  4. Step 4: Simplify right side
    48,642x = 854,104,878
  5. Step 5: Solve for x
    x = 854,104,878/48,642
  6. Step 6: Final answer
    x = 17,559

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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.