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Finding the Fourth Proportional to 14,572, 21,858 and 3,628

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Solution

The fourth proportional to 14,572, 21,858 and 3,628 is: 5,442

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,572 : 21,858 = 3,628 : x
  2. Step 2: Convert to fraction form
    14,572/21,858 = 3,628/x
  3. Step 3: Cross multiply
    14,572x = 21,858 × 3,628
  4. Step 4: Simplify right side
    14,572x = 79,300,824
  5. Step 5: Solve for x
    x = 79,300,824/14,572
  6. Step 6: Final answer
    x = 5,442

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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.